Quiz Review: Regression, Piecewise, and Absolute Value
Quiz Review: Piecewise, and Absolute Value
Graph the piecewise functions:
1. [pic]
[pic]
2. [pic]
[pic]
3. [pic]
Evaluate the following:
a. f(-1)
b. f(1)
c. f(5)
d. f(7)
4. Write the piecewise functions for the graphs shown.
a.
b.
5. Solve for x. Be sure to find all solutions. Some x values will be fractional.
a. [pic] b. [pic]
c. [pic] d. [pic]
6. Write an absolute value formula and a piecewise formula for the following graph:
[pic]
7. Graph the following absolute value function and find the vertex and x- and y-intercepts:
[pic]
[pic]
Vertex:
y-intercept:
x-intercept:
8. [pic]
9. [pic]
10. [pic]
11. [pic]
12. [pic]
ANSWERS:
1. 2.
[pic] [pic]
3. a. f(-1) = 0 b. f(1) = 5 c. f(5) = 27 d. f(7) = -33
4. a. [pic] b. [pic]
5. a. 5 and –13 b. 47/7 and –51/7 c. 7 and –12 d. 22 and –8
6. [pic] and [pic]
7.
. [pic]
Vertex: (–2, –1) Y-intercept: –4, No x-intercepts.
8. [pic] 9. [pic]
10. [pic] 11. No Solution
12. [pic]
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