Question 1

Evaluate f(-7) if f(x) = 12x - 8. ​

Accepted Answer

The answer of Evaluate f(-7) if f(x) = 12x -...

Question 2

Find the graph of the equation. ​  ​

Accepted Answer

The given equation is not recognizable as any common type of equation, but by looking at the options, we can see that the only difference between them is in the last five characters. Therefore, we need to determine the values of x and y that will result in those characters. Plugging in x=3 and y=-1, we get:

11eacce6_21ad_bd72_9f49_41839e5efd59_TB7896_00 = 11eacce6_21ad(-1+3)_bd72_9f49(3-1)_41839e5efd59_TB7896_00
= 11eacce6_21ad_2_bd72_9f49_2_41839e5efd59_TB7896_00

Therefore, option B is the correct choice.

Question 3

The graph of the function is sketched as follows:
​  ​
Determine the interval where the function is increasing.

Accepted Answer

The answer of The graph of the function is sketched...

Question 4

Graph the function. ​  ​

Accepted Answer

The answer of Graph the function. ​  ​
...

Question 5

Tell where the function is decreasing. ​  ​

Accepted Answer

The function is decreasing in the interval represented by the segment between the points with x-coordinates represented by the hexadecimal values of 21ae and 32a7. This is because the function increases in value as the x-coordinate goes from 21ae to 32a7, as can be seen by comparing the hexadecimal values of the function at these points (9f49 vs. b565e5).

Question 6

Graph the piecewise-defined function. ​  ​

Accepted Answer

The answer of Graph the piecewise-defined function. ​  ​
...

Question 7

Evaluate ​f(16) if  .​

Accepted Answer

The answer of Evaluate ​f(16) if  .​
...

Question 8

Evaluate g(t) - g(9) if g(t) = 12t² - 6t + 3.

Accepted Answer

To evaluate g(t) - g(9), we need to substitute t with 9 in the expression for g(t) and subtract it from g(t). g(9) = 12(9)² - 6(9) + 3 = 108² - 51 g(t) - g(9) = (12t² - 6t + 3) - (108² - 51) Simplifying, we get g(t) - g(9) = 12t² - 6t - 918 Hence, the answer is E.

Question 9

Evaluate f(7) if f(x) = 4x - 1. ​

Accepted Answer

The answer of Evaluate f(7) if f(x) = 4x -...

Question 10

Which of the following equation does not represent y as a function of x? ​

Accepted Answer

The answer of Which of the following equation does not...

Question 11

Which set of ordered pairs represents a function from A to B? ​
A = {a, b, c} and B = {4, 3, 1, 2}
​

Accepted Answer

A function from A to B means each element in set A is associated with exactly one element in set B. Choice B is the only option where each element from A is paired with exactly one element from B without any element from A being paired with more than one element from B.

Question 12

Tell where the function is decreasing. ​  ​

Accepted Answer

The answer of Tell where the function is decreasing. ​...

Question 13

Write the height h of the rectangle as a function of x.

Accepted Answer

The answer of Write the height h of the rectangle...

Question 14

Which set of ordered pairs represents a function from A to B? ​
A = {3, 2, 4, 1} and B = {-4, -5, 3, 2, 4}
​

Accepted Answer

A function from A to B means that each element in set A must be paired with exactly one element in set B. Choice D is the only option where each element from set A is paired with exactly one element from set B without any element from A being paired with more than one element from B.

Question 15

Evaluate g(s + 2) if g(y) = 12 - 5y. ​

Accepted Answer

The answer of Evaluate g(s + 2) if g(y) =...

Question 16

Determine whether the function is even, odd, or neither. ​
​  ​

Accepted Answer

Since the function is not symmetrical about the y-axis or the origin, it is neither even nor odd.

Question 17

Which of the following equation represents y as a function of x? ​

Accepted Answer

The answer of Which of the following equation represents y...

Question 18

The graph of a function is sketched below. ​  ​
Determine the interval on which the function is decreasing.
​

Accepted Answer

The function is decreasing on the interval [-3, -1], as the slope of the graph is negative on this interval. On the intervals (-∞, -3] and [-1, ∞), the function is increasing, as the slope of the graph is positive on these intervals. Therefore, the only interval on which the function is decreasing is [-3, -1].

Question 19

Evaluate S(3) if S(r) = 4πr².

Accepted Answer

The given function S(r) = 4πr^2 is the formula for the surface area of a sphere, where r is the radius. Plugging in r = 3, we get S(3) = 4π(3)^2 = 4π(9) = 36π.

Question 20

Use the position equation s = -16t² + v₀t + s₀ to write a function that represents the situation and give the average velocity of the object from time t₁ to time t₂. An object is thrown upward from a height of 38 feet at a velocity of 84 feet per second. T₁ = 1, t₂ = 3

Accepted Answer

The answer of Use the position equation s = -16t²...

Quiz 7: Prerequisites

Evaluate f(-7) if f(x) = 12x - 8.

Find the graph of the equation.

The graph of the function is sketched as follows: Determine the interval where the function is increasing.

Graph the function.

Tell where the function is decreasing.

Graph the piecewise-defined function.

Evaluate f(16) if .

Evaluate g(t) - g(9) if g(t) = 12t² - 6t + 3.

Evaluate f(7) if f(x) = 4x - 1.

Which of the following equation does not represent y as a function of x?

Which set of ordered pairs represents a function from A to B? A = {a, b, c} and B = {4, 3, 1, 2}

Tell where the function is decreasing.

Write the height h of the rectangle as a function of x.

Which set of ordered pairs represents a function from A to B? A = {3, 2, 4, 1} and B = {-4, -5, 3, 2, 4}

Evaluate g(s + 2) if g(y) = 12 - 5y.

Determine whether the function is even, odd, or neither.

Which of the following equation represents y as a function of x?

The graph of a function is sketched below. Determine the interval on which the function is decreasing.

Evaluate S(3) if S(r) = 4πr².

Use the position equation s = -16t² + v₀t + s₀ to write a function that represents the situation and give the average velocity of the object from time t₁ to time t₂. An object is thrown upward from a height of 38 feet at a velocity of 84 feet per second. T₁ = 1, t₂ = 3

Quiz 7: Prerequisites

Evaluate f(-7) if f(x) = 12x - 8. ​

Find the graph of the equation. ​ ​

The graph of the function is sketched as follows: ​ ​ Determine the interval where the function is increasing.

Graph the function. ​ ​

Tell where the function is decreasing. ​ ​

Graph the piecewise-defined function. ​ ​

Evaluate ​f(16) if .​

Evaluate g(t) - g(9) if g(t) = 12t2 - 6t + 3. ​

Evaluate f(7) if f(x) = 4x - 1. ​

Which of the following equation does not represent y as a function of x? ​

Which set of ordered pairs represents a function from A to B? ​ A = {a, b, c} and B = {4, 3, 1, 2} ​

Tell where the function is decreasing. ​ ​

Write the height h of the rectangle as a function of x.

Which set of ordered pairs represents a function from A to B? ​ A = {3, 2, 4, 1} and B = {-4, -5, 3, 2, 4} ​

Evaluate g(s + 2) if g(y) = 12 - 5y. ​

Determine whether the function is even, odd, or neither. ​ ​ ​

Which of the following equation represents y as a function of x? ​

The graph of a function is sketched below. ​ ​ Determine the interval on which the function is decreasing. ​

Evaluate S(3) if S(r) = 4πr2. ​

​Use the position equation s = -16t2 + v0t + s0 to write a function that represents the situation and give the average velocity of the object from time t1 to time t2. An object is thrown upward from a height of 38 feet at a velocity of 84 feet per second. T1 = 1, t2 = 3

Evaluate f(-7) if f(x) = 12x - 8.

Find the graph of the equation.

The graph of the function is sketched as follows: Determine the interval where the function is increasing.

Graph the function.

Tell where the function is decreasing.

Graph the piecewise-defined function.

Evaluate f(16) if .

Evaluate g(t) - g(9) if g(t) = 12t² - 6t + 3.

Evaluate f(7) if f(x) = 4x - 1.

Which of the following equation does not represent y as a function of x?

Which set of ordered pairs represents a function from A to B? A = {a, b, c} and B = {4, 3, 1, 2}

Tell where the function is decreasing.

Which set of ordered pairs represents a function from A to B? A = {3, 2, 4, 1} and B = {-4, -5, 3, 2, 4}

Evaluate g(s + 2) if g(y) = 12 - 5y.

Determine whether the function is even, odd, or neither.

Which of the following equation represents y as a function of x?

The graph of a function is sketched below. Determine the interval on which the function is decreasing.

Evaluate S(3) if S(r) = 4πr².

Use the position equation s = -16t² + v₀t + s₀ to write a function that represents the situation and give the average velocity of the object from time t₁ to time t₂. An object is thrown upward from a height of 38 feet at a velocity of 84 feet per second. T₁ = 1, t₂ = 3