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 quantity. b) f(x) represents the quantity. f(x) is just another name for with slope. c) The graph of f(x) is a and 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 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.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 30P: In this problem you are asked to find a function that models in real life situation and then use the...
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Exponential functions part 1

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.
quantity.
b) f(x) represents the
quantity. f(x) is just another name for
with slope
c) The graph of f(x) is a
and
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 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: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. quantity. b) f(x) represents the quantity. f(x) is just another name for with slope c) The graph of f(x) is a and 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 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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