College Algebra Problems With Answers sample 4 : Graphs of Functions

A set of college algebra problems on graphs of functions with answers, are presented. The questions are related to the transformations of graphs, graphs of inverse functions, symmetry of graphs, reading values from graphs, find domain and range and intervals on increase and decrease. The solutions are at the bottom of the page.

Question 1

The graph of f(x) is shown below. Draw the graph of y = - f(x - 3) - 2

Question 2

Complete the graph given below so that it is symmetric with respect to the origin.

The graph of f(x) is shown below. Sketch the graph of the inverse of f.

Question 5

The graph of h(x) is shown below.
a) evaluate: h(-2) + h(2) =
b) What is the domain of h?
c) What is the range of h?
d) Find the interval(s) over which h is increasing.
e) Find the interval(s) over which h is decreasing.
f) Find the interval(s) over which h is constant.

Question 6

The graph of f(x) is shown below. Sketch the graph of f(2x).

Question 7

The graph of f^{ -1}(x) is shown below.
Evaluate the following: f(0) , f(2)