Question 1

Fred's cell phone company charges $\$ 60$ per month and $\$ 0.35$ for each minute (or part of a minute) over 100 minutes.
a) Write a formula for the company's policy.
b) How much is Fred's cell phone bill for the month if he talks for 138 minutes.

Accepted Answer

The answer of Fred's cell phone company charges $\$ 60$...

Question 2

Fred's cell phone company charges $\$ 60$ per month and $\$ 0.45$ for each minute (or part of a minute) over 105 minutes. Which of the following is the domain of the function?

Accepted Answer

The answer of Fred's cell phone company charges $\$ 60$...

Question 3

Which of the following is a piecewise formula for the function $f(x)=|3 x-15|$

Accepted Answer

The absolute value function $f(x)=|3x-15|$ can be expressed as a piecewise function where $f(x)=15-3x$ for $x \leq 5$ and $f(x)=3x-15$ for $x > 5$.

Question 4

Let

a) What is the domain of $f$ ?
b) What is the range of $f$ ?

Accepted Answer

The answer of Let

a) What is the domain of...

Question 5

Let  
 
a) Evaluate $f(0)$.
b) Evaluate $f(-1)$.
c) Evaluate $f(3)$.

Accepted Answer

The answer of Let  
 
a) Evaluate $f(0)$.
b) Evaluate...

Question 6

Which of the following is a piecewise defined function for $f(x)=\frac{|2 x|}{x}$ ?

Accepted Answer

The answer of Which of the following is a piecewise...

Question 7

Find a formula for the following graph:

Accepted Answer

The answer of Find a formula for the following graph:
...

Question 8

Let $f(x)= \begin{cases}2 x-5, & x \leq 0 \ 3 x+8, & x>0\end{cases}$
a) Find the domain of $f$
b) Find the range of $f$

Accepted Answer

The answer of Let \(f(x)= \begin{cases}2 x-5, & x \leq...

Question 9

Let $f(x)= \begin{cases}2 x-5, & x \leq 0 \ 3 x+4, & x>0\end{cases}$
Graph the function.

Accepted Answer

The answer of Let \(f(x)= \begin{cases}2 x-5, & x \leq...

Question 10

L 
a) Find the domain of $f$
b) Find the range of $f$

Accepted Answer

The answer of L 
a) Find the domain of $f$
b)...

Question 11

Let 
a) Evaluate $f(-5)$
b) Evaluate $f(-3)$
c) Evaluate $f(2)$
d) Evaluate $f(10)$

Accepted Answer

The answer of Let 
a) Evaluate $f(-5)$
b) Evaluate $f(-3)$
c) Evaluate...

Question 12

Let $g(x)=\sqrt{16-x^{2}}$. Which of the following functions will translate the graph of $g 3$ units to the left and 6 units down?

Accepted Answer

Translating 3 units to the left involves replacing $x$ with $x+3$, and translating 6 units down involves subtracting 6 from the function.

Question 13

Let $g(x)=\sqrt{25-x^{2}}$. The range of a function that will translate the graph of $g 6$ units to the right and 2 units up is ---------------$\leq y \leq$------------

Accepted Answer

The answer of Let $g(x)=\sqrt{25-x^{2}}$. The range of a function...

Question 14

The graph of $f(x)$ contains the point $(3,1)$. What is the corresponding point on the graph of $f(x+5)$ ?

Accepted Answer

The answer of The graph of $f(x)$ contains the point...

Question 15

If $r(t)=e^{t}$ for $t>0$, what is the formula for $s(t)=r(t-4)$ ?

Accepted Answer

The answer of If $r(t)=e^{t}$ for $t>0$, what is the...

Question 16

If $r(t)=e^{t}$ for $t>0$, what is the formula for $s(t)=r(t)-3$ ?

Accepted Answer

The answer of If $r(t)=e^{t}$ for $t>0$, what is the...

Question 17

If $f(x)=4 x^{2}+5 x$ and $g(x)=f(x-3)$, what is $g(3)$ ?

Accepted Answer

The answer of If $f(x)=4 x^{2}+5 x$ and $g(x)=f(x-3)$, what...

Question 18

If $f(x)=2 x^{2}+4 x$ and $h(x)=f(x)-3$, what is $h(-1)$ ?

Accepted Answer

The answer of If $f(x)=2 x^{2}+4 x$ and $h(x)=f(x)-3$, what...

Question 19

For a given function $f(x)$, suppose $g(x)=f(x-1)$ and $h(x)=f(x)-1$. All three functions are graphed below. Which curve shows the graph of $h$ ?

Accepted Answer

The answer of For a given function $f(x)$, suppose $g(x)=f(x-1)$...

Question 20

Let $f(x)=\ln x$ and $g(x)=\ln (x+5)$ for $x>0$. How does the graph of $g(x)$ compare to the graph of $f(x)$ ?

Accepted Answer

The answer of Let $f(x)=\ln x$ and $g(x)=\ln (x+5)$ for...

Quiz 2: Functions

Fred's cell phone company charges $\$ 60$ per month and $\$ 0.35$ for each minute (or part of a minute) over 100 minutes. a) Write a formula for the company's policy. b) How much is Fred's cell phone bill for the month if he talks for 138 minutes.

Fred's cell phone company charges $\$ 60$ per month and $\$ 0.45$ for each minute (or part of a minute) over 105 minutes. Which of the following is the domain of the function?

Which of the following is a piecewise formula for the function $f(x) =|3 x-15|$

Let a) What is the domain of $f$ ? b) What is the range of $f$ ?

Let a) Evaluate $f(0)$ . b) Evaluate $f(-1)$ . c) Evaluate $f(3)$ .

Which of the following is a piecewise defined function for $f(x) =\frac{|2 x|}{x}$ ?

Find a formula for the following graph:

Let $f(x)= \begin{cases}2 x-5, & x \leq 0 \\ 3 x+8, & x>0\end{cases}$ a) Find the domain of $f$ b) Find the range of $f$

Let $f(x)= \begin{cases}2 x-5, & x \leq 0 \\ 3 x+4, & x>0\end{cases}$ Graph the function.

Let a) Find the domain of $f$ b) Find the range of $f$

Let a) Evaluate $f(-5)$ b) Evaluate $f(-3)$ c) Evaluate $f(2)$ d) Evaluate $f(10)$

Let $g(x) =\sqrt{16-x^{2}}$ . Which of the following functions will translate the graph of $g 3$ units to the left and 6 units down?

Let $g(x)=\sqrt{25-x^{2}}$ . The range of a function that will translate the graph of $g 6$ units to the right and 2 units up is --------------- $\leq y \leq$ ------------

The graph of $f(x)$ contains the point $(3,1)$ . What is the corresponding point on the graph of $f(x+5)$ ?

If $r(t) =e^{t}$ for $t>0$ , what is the formula for $s(t) =r(t-4)$ ?

If $r(t) =e^{t}$ for $t>0$ , what is the formula for $s(t) =r(t) -3$ ?

If $f(x)=4 x^{2}+5 x$ and $g(x)=f(x-3)$ , what is $g(3)$ ?

If $f(x)=2 x^{2}+4 x$ and $h(x)=f(x)-3$ , what is $h(-1)$ ?

For a given function $f(x)$ , suppose $g(x)=f(x-1)$ and $h(x)=f(x)-1$ . All three functions are graphed below. Which curve shows the graph of $h$ ?

Let $f(x) =\ln x$ and $g(x) =\ln (x+5)$ for $x>0$ . How does the graph of $g(x)$ compare to the graph of $f(x)$ ?

Quiz 2: Functions

Fred's cell phone company charges $60\$ 60$60 per month and $0.35\$ 0.35$0.35 for each minute (or part of a minute) over 100 minutes. a) Write a formula for the company's policy. b) How much is Fred's cell phone bill for the month if he talks for 138 minutes.

Fred's cell phone company charges $60\$ 60$60 per month and $0.45\$ 0.45$0.45 for each minute (or part of a minute) over 105 minutes. Which of the following is the domain of the function?

Which of the following is a piecewise formula for the function f(x) =∣3x−15∣f(x) =|3 x-15|f(x) =∣3x−15∣

Let a) What is the domain of fff ? b) What is the range of fff ?

Let a) Evaluate f(0)f(0)f(0) . b) Evaluate f(−1)f(-1)f(−1) . c) Evaluate f(3)f(3)f(3) .

Which of the following is a piecewise defined function for f(x) =∣2x∣xf(x) =\frac{|2 x|}{x}f(x) =x∣2x∣​ ?

Find a formula for the following graph:

Let f(x)={2x−5,x≤03x+8,x>0f(x)= \begin{cases}2 x-5, & x \leq 0 \\ 3 x+8, & x>0\end{cases}f(x)={2x−5,3x+8,​x≤0x>0​ a) Find the domain of fff b) Find the range of fff

Let f(x)={2x−5,x≤03x+4,x>0f(x)= \begin{cases}2 x-5, & x \leq 0 \\ 3 x+4, & x>0\end{cases}f(x)={2x−5,3x+4,​x≤0x>0​ Graph the function.

Let a) Find the domain of fff b) Find the range of fff

Let a) Evaluate f(−5)f(-5)f(−5) b) Evaluate f(−3)f(-3)f(−3) c) Evaluate f(2)f(2)f(2) d) Evaluate f(10)f(10)f(10)

Let g(x) =16−x2g(x) =\sqrt{16-x^{2}}g(x) =16−x2​ . Which of the following functions will translate the graph of g3g 3g3 units to the left and 6 units down?

Let g(x)=25−x2g(x)=\sqrt{25-x^{2}}g(x)=25−x2​ . The range of a function that will translate the graph of g6g 6g6 units to the right and 2 units up is --------------- ≤y≤\leq y \leq≤y≤ ------------

The graph of f(x)f(x)f(x) contains the point (3,1)(3,1)(3,1) . What is the corresponding point on the graph of f(x+5)f(x+5)f(x+5) ?

If r(t) =etr(t) =e^{t}r(t) =et for t>0t>0t>0 , what is the formula for s(t) =r(t−4) s(t) =r(t-4) s(t) =r(t−4) ?

If r(t) =etr(t) =e^{t}r(t) =et for t>0t>0t>0 , what is the formula for s(t) =r(t) −3s(t) =r(t) -3s(t) =r(t) −3 ?

If f(x)=4x2+5xf(x)=4 x^{2}+5 xf(x)=4x2+5x and g(x)=f(x−3)g(x)=f(x-3)g(x)=f(x−3) , what is g(3)g(3)g(3) ?

If f(x)=2x2+4xf(x)=2 x^{2}+4 xf(x)=2x2+4x and h(x)=f(x)−3h(x)=f(x)-3h(x)=f(x)−3 , what is h(−1)h(-1)h(−1) ?

For a given function f(x)f(x)f(x) , suppose g(x)=f(x−1)g(x)=f(x-1)g(x)=f(x−1) and h(x)=f(x)−1h(x)=f(x)-1h(x)=f(x)−1 . All three functions are graphed below. Which curve shows the graph of hhh ?

Let f(x) =ln⁡xf(x) =\ln xf(x) =lnx and g(x) =ln⁡(x+5) g(x) =\ln (x+5) g(x) =ln(x+5) for x>0x>0x>0 . How does the graph of g(x) g(x) g(x) compare to the graph of f(x) f(x) f(x) ?

Fred's cell phone company charges $\$ 60$ per month and $\$ 0.35$ for each minute (or part of a minute) over 100 minutes. a) Write a formula for the company's policy. b) How much is Fred's cell phone bill for the month if he talks for 138 minutes.

Fred's cell phone company charges $\$ 60$ per month and $\$ 0.45$ for each minute (or part of a minute) over 105 minutes. Which of the following is the domain of the function?

Which of the following is a piecewise formula for the function $f(x) =|3 x-15|$

Let a) What is the domain of $f$ ? b) What is the range of $f$ ?

Let a) Evaluate $f(0)$ . b) Evaluate $f(-1)$ . c) Evaluate $f(3)$ .

Which of the following is a piecewise defined function for $f(x) =\frac{|2 x|}{x}$ ?

Let $f(x)= \begin{cases}2 x-5, & x \leq 0 \\ 3 x+8, & x>0\end{cases}$ a) Find the domain of $f$ b) Find the range of $f$

Let $f(x)= \begin{cases}2 x-5, & x \leq 0 \\ 3 x+4, & x>0\end{cases}$ Graph the function.

Let a) Find the domain of $f$ b) Find the range of $f$

Let a) Evaluate $f(-5)$ b) Evaluate $f(-3)$ c) Evaluate $f(2)$ d) Evaluate $f(10)$

Let $g(x) =\sqrt{16-x^{2}}$ . Which of the following functions will translate the graph of $g 3$ units to the left and 6 units down?

Let $g(x)=\sqrt{25-x^{2}}$ . The range of a function that will translate the graph of $g 6$ units to the right and 2 units up is --------------- $\leq y \leq$ ------------

The graph of $f(x)$ contains the point $(3,1)$ . What is the corresponding point on the graph of $f(x+5)$ ?

If $r(t) =e^{t}$ for $t>0$ , what is the formula for $s(t) =r(t-4)$ ?

If $r(t) =e^{t}$ for $t>0$ , what is the formula for $s(t) =r(t) -3$ ?

If $f(x)=4 x^{2}+5 x$ and $g(x)=f(x-3)$ , what is $g(3)$ ?

If $f(x)=2 x^{2}+4 x$ and $h(x)=f(x)-3$ , what is $h(-1)$ ?

For a given function $f(x)$ , suppose $g(x)=f(x-1)$ and $h(x)=f(x)-1$ . All three functions are graphed below. Which curve shows the graph of $h$ ?

Let $f(x) =\ln x$ and $g(x) =\ln (x+5)$ for $x>0$ . How does the graph of $g(x)$ compare to the graph of $f(x)$ ?