Exponential Functions vs. Linear Functions So far in this course, the only function type we have studied is LINEAR FUNCTIONS. You spent the first lessons learning the characteristics of LINEAR FUNCTIONS. Let's remind ourselves of those now. Problem 1 YOU TRY – CHARACTERISTICS OF LINEAR FUNCTIONS Given a function, f(x) = mx + b, respond to each of the following. Refer back to previous lessons as needed. a) The variable x represents the b) f(x) represents the c) The graph of f(x) is a y-intercept d) On the graphing grid below, draw an INCREASING linear function. In this case, what can you say about the slope of the line? m quantity. quantity. f(x) is just another name for with slope and 0 (Your choices here are > or <) e) On the graphing grid below, draw a DECREASING linear function. In this case, what can you say about the slope of the line? m 0 (Your choices here are > or <) f) The defining characteristic of a LINEAR FUNCTION is that the RATE OF CHANGE (also called the SLOPE) is We say, then, that LINEAR FUNCTIONS change in an ADDITIVE way.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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ChapterP: Preliminary Concepts
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Exponential vs linear functions part 1 

Exponential Functions vs. Linear Functions
So far in this course, the only function type we have studied is LINEAR FUNCTIONS. You spent the first
lessons learning the characteristics of LINEAR FUNCTIONS. Let's remind ourselves of those now.
Problem 1
YOU TRY
CHARACTERISTICS OF LINEAR FUNCTIONS
Given a function, f(x) = mx + b, respond to each of the following. Refer back to previous lessons as
needed.
a) The variable x represents the
b) f(x) represents the
c) The graph of f(x) is a
y-intercept
d) On the graphing grid below, draw an INCREASING linear function. In this case, what can you say
about the slope of the line? m
quantity.
quantity. f(x) is just another name for
with slope
and
0 (Your choices here are > or <)
e) On the graphing grid below, draw a DECREASING linear function. In this case, what can you say
about the slope of the line? m.
0 (Your choices here are > or <)
f) The defining characteristic of a LINEAR FUNCTION is that the RATE OF CHANGE (also called the
SLOPE) is
We say, then, that LINEAR FUNCTIONS change in an ADDITIVE
way.
1
Transcribed Image Text:Exponential Functions vs. Linear Functions So far in this course, the only function type we have studied is LINEAR FUNCTIONS. You spent the first lessons learning the characteristics of LINEAR FUNCTIONS. Let's remind ourselves of those now. Problem 1 YOU TRY CHARACTERISTICS OF LINEAR FUNCTIONS Given a function, f(x) = mx + b, respond to each of the following. Refer back to previous lessons as needed. a) The variable x represents the b) f(x) represents the c) The graph of f(x) is a y-intercept d) On the graphing grid below, draw an INCREASING linear function. In this case, what can you say about the slope of the line? m quantity. quantity. f(x) is just another name for with slope and 0 (Your choices here are > or <) e) On the graphing grid below, draw a DECREASING linear function. In this case, what can you say about the slope of the line? m. 0 (Your choices here are > or <) f) The defining characteristic of a LINEAR FUNCTION is that the RATE OF CHANGE (also called the SLOPE) is We say, then, that LINEAR FUNCTIONS change in an ADDITIVE way. 1
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