MATH 110 ASU Math Functions Questions

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 ____________________
Page 1
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 ____________________ Page 2 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 ____________________ Page 3 Pr. Shibalovich