Practice Page

Directions: Read carefully.

1.
For the exponential function y = 2x :
a) what is the y-intercept?
Choose:
(0,0)
(0,-1) (0,1) (0,2)
b) what is the the domain?
Choose:
(0,∞)
(-∞,0)
(-∞,∞)
(1,∞)
c) what is the range?
Choose:
(-∞,0)
(-∞,∞)
(1,∞)
(0,∞)

d) what is the asymptote?
Choose:
y = 1
y = 0
x = 1
x = 0
ideabox

 

 

2.
Which of the following statements is NOT true regarding the exponential function y = 2x + 4 ?
Choose:
The domain is all Real numbers.
The average rate of change is constant.
The y-intercept is (0,5).
The asymptote is y = 4.

 

 

3.
Which graph represents the function y = 3x+ 2 ?
 
Choose:
PWpostal2
PWpostal3
PWpostal1
prac3d

 

 

4.
Which of the following tables displays an exponential function?
Choose:
exptable1
exptable2
exptable3
exptable4

 

 

5.

 

 

 

 

 
Given a linear function: y1 = 3x
Given an exponential function: y2 = 3x

a) Which function has a constant rate of change?
Choose:
 linear exponential both

b) Which function has an end behavior y → +∞ as x → +∞ ?
Choose:
 linear exponential both

c) Which function increases at a faster rate?
Choose:
 linear exponential both

d) Which function has a y-intercept at (0,0)?
Choose:
 linear exponential both

 

 

6.
Two functions are shown in the tables at the right.
a) Which of the following is true?
Choose:
f (x) is linear and g(x) is exponential
f (x) is exponential and g(x) is linear
f (x) and g(x) are both linear
f (x) and g(x) are both exponential
x
f(x)
1
4
2
16
3
64
4
256
5
1024

 
b) Which function has a common difference (equal differences over equal intervals)?
Choose:
f (x)
g (x)

c) Which function can be modeled by the equation y = 4x ?
Choose:
f (x)
g (x)
x
g(x)
1
66
2
68
3
70
4
72
5
74

 

 

7.
Which choice is an exponential function of the form f (x) = abx that can be used to represent the data displayed in the chart at the right?
 Choose:
f (x) = 2x
f (x) = 3x
f (x) = 3•2x f (x) = 2•3x
x
f(x)
0
2
1
6
3
54
 

 

 

8.
Consider the graph of y = 4x.
consider
 
 
a) What happens to y as x gets smaller?
Choose:
y approaches 1
y approaches 2
y approaches 0
y approaches 4

 
b) Will the value of y ever equal zero?
 Choose:
yes, at x = 0
yes, at x = -∞
yes, at x = -4
no
 

c) What is the domain of function y ?
Choose:
All Reals
y > 0
y > 0
y > 4



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