Test 2MAT

110

03, 04

Shibalovich

2022

March 3

50 minutes

X

X

X

This test is a take-home test. Please take it by yourself without help

from anyone else. Please be honest.

Chapter Test 2

College Algebra, MAT110

Name_____________________________

This test is worth 60 points. Solve each problem on a separate sheet of paper, and then write your answer on the line

provided. Please use a pencil.

Tell whether or not the relation is a function.

1) {(1,-1), (1,9), (5,6), (9,-5), (12,-5)}

Answer ____________________

Find the domain & range of given function.

2) f(x) = 5x – 8 + 3

Domain: __________

Range __________

Solve the problem.

3) Compute the average rate of change of f(x) = 3×2 + 5 from x = 6 to x = 9. Round your

1

2

answer to two decimal places.

Answer ____________________

Evaluate the function as indicated.

4) Find f(k – 1) when f(x) = 5×2 – 5x + 6.

Answer ____________________

Solve the problem.

5) Given g(x) = 3×2 + 2x, solve for g(x) = 8.

Answer ____________________

Compute and simplify the difference quotient

f(x + h) – f(x)

, h ≠ 0.

h

6) f(x) = 3×2 + 6x

Answer ____________________

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Pr. Shibalovich

Solve the problem.

7) Bob wants to fence in a rectangular garden in his yard. He has 70 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.

Answer ____________________

The following table contains input-output values for a function. Is this function linear?

8)

x

-1

4

9

14

19

24

29

y

-8

-3

2

7

12

17

22

Answer ____________________

For the pair of functions, find the indicated sum, difference, product, or quotient.

9) Find (f – g)(-3) when f(x) = -4×2 – 4 and g(x) = x – 4.

Answer ____________________

Solve the problem.

10) Compute the average rate of change of f(x) = 5x + 5 from x1= -5 to x2= -2.

Answer ____________________

Identify the intervals on which the given function is increasing, decreasing, or constant.

11)

f(x) =

(x + 4)2 for x < 0
x - 6 for x ≥ 0
Answer ____________________
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Pr. Shibalovich
Find the requested composition of functions.
12) Given f(x) =
x - 10
and g(x) = 7x + 10, find (g † f)(x).
7
Answer ____________________
Determine whether or not the function is one-to-one.
13) f(x) = 5x2 + x
Answer ____________________
Find the inverse of the function.
14) f(x) = 7x3 + 2
Answer ____________________
Answer the question.
3
15) How can the graph of y = 0.7 -x be obtained from the graph of y =
3
x
Answer ____________________
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Pr. Shibalovich

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