MTH 135
Power Functions Homework
Copy each problem and show all work on your own paper.
For each of the following,
a. Name the parent function
b. Identify the vertex or inflection point in the t-table.
c. Identify the direction of the left and right arms (this is called the “end behavior” of the function)
d. Identify at least two other points equal distance from the vertex or inflection point in the t-table.
e. Graph
f. Identify the domain and range.
g. Identify the y-intercept. You do not need to graph this point if it is not feasible.
1.
f  x   3  x  1  6
6
5.
1
5
 x  3  1
4
2
6
f  x     x  4
3
3
4
f  x     x  3  5
4
3
f  x   2  x  2   4
6.
f  x   x4  8
2.
3.
4.
f  x 
7.
f  x   2  x  3  7
8.
f  x  
9.
10.
11.
12.
4
1
5
 x  4  5
2
f  x   2 x3  1
3
3
 x  1  3
2
1
6
f  x    x  2 1
3
1
5
f  x    x  6
2
f  x 