Name___________________________________________________
Algebra: Functions and Piecewise Review
1) Which set of ordered pairs does not represent a
function?
1)
2)
3)
4)
5) Which representations are functions?
Whif
2) Given the graph of a line represented by the
equation f(x) = -2x +b, if b is increased by 4 units, the
graph of the new line would be shifted 4 units
1) right
2) left
3) down
4) up
3) Which equation represents a constant function?
1) 𝑦
2) 𝑦
3) 𝑦
4) 𝑦
= −4
= −3|𝑥 + 4|
= 𝑥2
= √𝑥 − 2 + 7
Date___________________________
1)
2)
3)
4)
I and II
II and IV
III, only
IV, only
6) The graph of the function
below.
4) The graph of the equation 𝑦 = 𝑎𝑥 2 is shown below.
The domain of the function is
1)
2)
3)
4)
If a is multiplied by −2, the graph of the new
equation is
1)
2)
3)
4)
wider and opens downward
wider and opens upward
narrower and opens downward
narrower and opens upward
is shown
7) John left his home and walked 3 blocks to his
school, as shown in the accompanying graph.
8) Which graph represents
?
1)
2)
What is one possible interpretation of the section of the
graph from point B to point C?
1) John arrived at school and stayed throughout
the day.
2) John waited before crossing a busy street.
3) John returned home to get his mathematics
homework.
4) John reached the top of a hill and began
walking on level ground.
3)
4)
9) Evaluate the following.
10) Write the equation of the piecewise function
below.
11) If 𝑓(𝑥) = −4𝑥 + 7, find the value of x when 𝑓(𝑥) = 15.
12) When you work over 40 hours in a week in retail, you must be paid time and a half. The equation to
determine the weekly earnings of an employee at Guess is given by 𝑔(𝑥), where x is the number of hours
worked.
0  x  40
9 x,
g ( x)  
13.5( x - 40)  360, x  40
Determine the difference in salary, in dollars, for an employee who works 45 hours versus one who works 40
hours.
13) At Bath and Body Works, the mini hand sanitizers cost $2.25 each. If you buy more then 5, the price drops to $1.75
each. Let h be a function for which h(x) is the cost for purchasing x hand sanitizers, where x is a whole number.
2.25 x,
h( x )  
1.75 x,
a) Create the graph of h on the axes below.
b) Does it make sense to buy 5 hand sanitizers?
Explain.
0 x5
x5
14) On the set of axes below, graph ℎ(𝑥) = √𝑥 − 3 + 4.
Graph 𝑔(𝑥) = −ℎ(𝑥).
15)