Intermediate Algebra – Student Workbook – Second Edition 2013

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Date: ________________
Lesson 3a Practice Problems
1. In this problem, we look at the characteristics of Linear and Exponential Functions.
Complete the table below.
Function
If Linear, is it Increasing or
Decreasing or Constant
If Exponential, is it
Exponential Growth or
Exponential Decay
If Linear, state
the slope
If Exponential,
state the base
Identify the y-
intercept as an
ordered pair.
y = 2x + 4 Linear Increasing Slope = 2 y-intercept = (0,4)
f(x) = 3(2) x
g(x) = -1.5x - 2
p(t) = 100(1.2) t
f(c) = 1.8c + 32
g(x) = 1000(0.75) x
2. For the following three linear functions, identify the vertical intercept, calculate the slope and
then write the equation for the function in slope-intercept form.
a)
x f(x)
-1 3
0 2
1 1
b)
g = {(-2,2), (0,3), (2,4)}
c)
p(x)
Scottsdale Community College Page 113 Intermediate Algebra