Question 1

Find the difference quotient,  , for the function and simplify it.
-q(x) =

Accepted Answer

The answer of Find the difference quotient,  , for...

Question 2

Evaluate.
-If f(x) = 2  + x, find f(x + h) - f(x).

Accepted Answer

The answer of Evaluate.
-If f(x) = 2  + x,...

Question 3

Evaluate.
-If f = (2, -6), (5, -3), (6, -1) and g(x) = 4x + 9, find f(5) + g(5).

Accepted Answer

The answer of Evaluate.
-If f = (2, -6), (5, -3),...

Question 4

Solve the problem.
-Bob wants to fence in a rectangular garden in his yard. He has 64 feet of fencing to work with and wants to use it all. If the garden is to be x feet wide, express the area of the garden as a function of x.

Accepted Answer

The answer of Solve the problem.
-Bob wants to fence in...

Question 5

Solve the problem.
-In January 1983, Anna starts a new job and makes an annual salary of $38,000. By January 1986 her annual salary has increased to $46,200, and by January 1996 it has increased to $240,200. What is the average rate of
Change of her salary between January 1986 and January 1996?

Accepted Answer

The answer of Solve the problem.
-In January 1983, Anna starts...

Question 6

Solve the problem.
-Suppose that a rectangular yard has a width of x and a length of 8x. Write the perimeter P as a function of x.

Accepted Answer

The answer of Solve the problem.
-Suppose that a rectangular yard...

Question 7

Solve the problem.
-Suppose that a circular coin has a circumference of C, a radius of r, and a diameter of d. Write C as a function of d.

Accepted Answer

The answer of Solve the problem.
-Suppose that a circular coin...

Question 8

Solve the problem.
-A deep sea diving bell is being lowered at a constant rate. After 12 minutes, the bell is at a depth of 400 feet. After 50 minutes the bell is at a depth of 1600 feet. What is the average rate of lowering per minute?

Accepted Answer

The average rate of lowering per minute is (1600 - 400) / (50 - 12) = 1200 / 38 = 31.58 ft per minute, which is closest to choice A.

Question 9

Evaluate.
-If f(x) =  find f(-9).

Accepted Answer

The answer of Evaluate.
-If f(x) =  find f(-9).
...

Question 10

Evaluate.
-Find f(a + 3) when f(x) =  + 5.

Accepted Answer

The answer of Evaluate.
-Find f(a + 3) when f(x) =...

Question 11

Find the difference quotient,  , for the function and simplify it.
-p(x) = 2 -

Accepted Answer

The answer of Find the difference quotient,  , for...

Question 12

Find the difference quotient,  , for the function and simplify it.
-f(x) = 7x - 11

Accepted Answer

The answer of Find the difference quotient,  , for...

Question 13

Evaluate.
-Find g(a - 1) when g(x) = 4x + 2.

Accepted Answer

The answer of Evaluate.
-Find g(a - 1) when g(x) =...

Question 14

Evaluate.
-If f(x) =  + 4x - 3, find f(4).

Accepted Answer

The answer of Evaluate.
-If f(x) =  + 4x -...

Question 15

Find the difference quotient,  , for the function and simplify it.
-a(x) =

Accepted Answer

The answer of Find the difference quotient,  , for...

Question 16

Find the difference quotient,  , for the function and simplify it.
-g(x) =  + 10x - 5

Accepted Answer

The answer of Find the difference quotient,  , for...

Question 17

Evaluate.
-Find g(a + 1) when g(x) =  x - 3.

Accepted Answer

The answer of Evaluate.
-Find g(a + 1) when g(x) =...

Question 18

Solve the problem.
-Elissa wants to set up a rectangular dog run in her backyard. She has 30 feet of fencing to work with and wants to use it all. If the dog run is to be x feet long, express the area of the dog run as a function of x.

Accepted Answer

The answer of Solve the problem.
-Elissa wants to set up...

Question 19

Evaluate.
-If f(x) =  - 4x - 2, find f(6).

Accepted Answer

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

Question 20

Evaluate.
-Find f(k - 1) when f(x) =  + 5x - 3.

Accepted Answer

The answer of Evaluate.
-Find f(k - 1) when f(x) =...

Quiz 2: Functions and Graphs

Find the difference quotient, , for the function and simplify it. -q(x) =

Evaluate. -If f(x) = 2 + x, find f(x + h) - f(x) .

Evaluate. -If f = (2, -6) , (5, -3) , (6, -1) and g(x) = 4x + 9, find f(5) + g(5) .

Solve the problem. -Bob wants to fence in a rectangular garden in his yard. He has 64 feet of fencing to work with and wants to use it all. If the garden is to be x feet wide, express the area of the garden as a function of x.

Solve the problem. -In January 1983, Anna starts a new job and makes an annual salary of $38,000. By January 1986 her annual salary has increased to $46,200, and by January 1996 it has increased to $240,200. What is the average rate of Change of her salary between January 1986 and January 1996?

Solve the problem. -Suppose that a rectangular yard has a width of x and a length of 8x. Write the perimeter P as a function of x.

Solve the problem. -Suppose that a circular coin has a circumference of C, a radius of r, and a diameter of d. Write C as a function of d.

Solve the problem. -A deep sea diving bell is being lowered at a constant rate. After 12 minutes, the bell is at a depth of 400 feet. After 50 minutes the bell is at a depth of 1600 feet. What is the average rate of lowering per minute?

Evaluate. -If f(x) = find f(-9) .

Evaluate. -Find f(a + 3) when f(x) = + 5.

Find the difference quotient, , for the function and simplify it. -p(x) = 2 -

Find the difference quotient, , for the function and simplify it. -f(x) = 7x - 11

Evaluate. -Find g(a - 1) when g(x) = 4x + 2.

Evaluate. -If f(x) = + 4x - 3, find f(4) .

Find the difference quotient, , for the function and simplify it. -a(x) =

Find the difference quotient, , for the function and simplify it. -g(x) = + 10x - 5

Evaluate. -Find g(a + 1) when g(x) = x - 3.

Solve the problem. -Elissa wants to set up a rectangular dog run in her backyard. She has 30 feet of fencing to work with and wants to use it all. If the dog run is to be x feet long, express the area of the dog run as a function of x.

Evaluate. -If f(x) = - 4x - 2, find f(6) .

Evaluate. -Find f(k - 1) when f(x) = + 5x - 3.