Algebra 313 (Wexler)
Unit 2, Quiz 1 (functions!) FORM A
Name
5 October 2017
Calculator okay.
Read directions and JUSTIFY where asked.
1) For each, determine whether or not it’s a function.
Be sure to clearly state YES or NO and JUSTIFY your responses.
[2 points each]
a) b)
( ) = x 2 + 6 2) f x = x 2 − 14 g x =
Find each requested value.
[2 points each]
a) ( 2) x + 12 a) (3 − 5) (expanded) b) If ( ) 21 d) ( + 3)
then x =
(expanded)
3) Find each function value for the piecewise function = 

2 x − 7 if x
≥ 1
< 1
[1 point each]
a) (3) b) ( 5) c) (1)
27 points

4) The function h (x) is graphed at right.
Refer to it in answering each question below.
[6 points] a) State the domain of h . b) State the range of h .
c) Find each function value h (5) = h ( 3) =
d) Find x h x =
5) Refer to the graph of the function g (x), shown below, to answer the questions.
This function has domain (–∞, ∞)
[2 points each] b) On what interval(s) of x g x decreasing? c) On what interval(s) is ( ) 4 ?
(notice that the y-axis has a scale of 2….) Justify your answer (with words).
6) Use your calculator to help you sketch the graph of
( ) = x 3 − 4 x 2 − 20 32 A good window for viewing this function is [–10, 10] × [–140, 60].
[2 points]
Then find the coordinates (x, y) of the
local maximum, rounded to hundredths.
Label this point on your graph .