Name:
Mods:
Date:
0.5 Homework
Determine whether the functions are linear, power, polynomial, rational, or none. If they are a
combination, write which ones. THEN write the parent function of each!
x2
5
1.
f (x) 
2.
f ( x)  x(x  1)(x  2)
3.
f ( x)  x 2  x 3
4.
f ( x) 
x3  x
x2  1
IF the functions are linear, find the slope and y-intercept of the following functions. If they are not
linear, write not linear.
3 x
8
5.
f ( x) 
6.
f ( x)  2(1  x)  7
7.
f ( x)  3x(2 x  1)
8.
x  2y 
1
2
Find the equation for each of the functions described below.
9. The linear function whose graph has slope -1 and passes through the points (3, -2)
10. The linear function whose graph has a y-intercept 5 and passes through (1, 2)
11. A power function whose graph passes through (0, 0) and (1, 3)
12. A polynomial function whose graph passes through (-2, 0), (1, 0), and (3, 0)
Write the following as a piecewise-defined function. Sketch the graph.
13. f ( x)  5  3x
14. f ( x)  1.5x  2.3