Math II Honors
Learning Target 8 (4x) Quiz
Name: _________________________
Graph, identify key features, and analyze square root, cube root, absolute value, step and piecewise
functions. Key features include, but not limited to, domain, range, rate of change, extreme values.
1.
Answer the following as Sometimes, Always, or Never.
______ The range of a cubic and a cube root are both  ,   .
______ The domains are the same on a square root and a cube root.
______ The absolute value function will decrease from negative infinity to the vertex point.
______ The square root function has restrictions on the domain.
2.
What is the vertex of the graph y  2 x  3  7 ?
3.
Create a general sketch of each type of function:
4.
Cubic
Absolute Value
Square Root
Cube Root
What is the critical point of the function f  x    A x  B  C
5.
Given the following three functions, determine the domain, range, and average rate of change in the
interval [0, 2] .
y  5 x  2  3
y  3 x3
y  x 4
y  x3
Domain
Range
Rate of change
in interval
from  0, 2
6.
Write the piecewise function that is represented in the graph below. Assume all endpoints are
inclusive.



f ( x)  



7.
Paulie’s parking lot charges $6 for every half hour you park your car in their lot. Every partial
minute beyond 30 minutes will be charged as a half hour. Write the function, C(x), to determine
the cost based on the minutes parked.
8.
Create a graph for the following piecewise function
 x  6, if x  2

y   x 2 , if  2  x  2
  x  6, if x  2
