Explanation Given information: The table x f ( x ) 0 16 1 24 2 36 3 54 4 81 Concept Involved: Linear function: Linear functions graph as a straight line, no curves allowed. So, if the graph is a straight line, it is the graph of a linear function. From a table, you can verify a linear function by examining the x and y values. The rate of change for y with respect to x remains constant for a linear function. This rate of change is called the slope.The linear function will be in the form y = m ︷ S l o p e ⋅ x + b ︷ y − i n t e r c e p t where m is the slope and b is the y-intercept. Exponential function: In order to check whether the table represents exponential function, we need to check whether there is a constant multiplication factor takes us from y-value to successive y-value. The exponential function will be in the form y = k ︷ I n i t i a l Q u a n t i t y ⋅ a ︸ G r o w t h F a c t o r x , where k represents the initial quantity and a represent the multiplication factor or growth factor.The factor a is given by a = 1 + r where r is the decimal representation of the percent rate of change; r may be positive (for growth) or negative (for decay). Calculation: Steps Description m = y 2 − y 1 x 2 − x 1 = 24 − 16 1 − 0 = 8 1 = 8 m = y 3 − y 2 x 3 − x 2 = 36 − 24 2 − 1 = 12 1 = 12 m = y 4 − y 3 x 4 − x 3 = 54 − 36 3 − 2 = To determine (b) To check: The whether the given table correspond to an exponential function, a linear function or neither and formula for the function. To determine (c) To check: The whether the given table correspond to an exponential function, a linear function or neither and formula for the function.

6th Edition

ISBN: 9781119275565

Author: Hughes-Hallett

Publisher: WILEY

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Chapter 1.5, Problem 34P

To determine

(a)

To check:

The whether the given table correspond to an exponential function, a linear function or neither and formula for the function.

To determine

(b)

To check:

The whether the given table correspond to an exponential function, a linear function or neither and formula for the function.

To determine

(c)

To check:

The whether the given table correspond to an exponential function, a linear function or neither and formula for the function.

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Chapter 1.5, Problem 33P

Chapter 1.5, Problem 35P

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Chapter 1 Solutions

APPLIED CALCULUS-PRINT COMPANION (LL)

Ch. 1.1 - Prob. 1P Ch. 1.1 - Prob. 2P Ch. 1.1 - Prob. 3P Ch. 1.1 - Prob. 4P Ch. 1.1 - Prob. 5P Ch. 1.1 - Prob. 6P Ch. 1.1 - Prob. 7P Ch. 1.1 - Prob. 8P Ch. 1.1 - Prob. 9P Ch. 1.1 - Prob. 10P

Ch. 1.1 - Prob. 11P Ch. 1.1 - Prob. 12P Ch. 1.1 - Prob. 13P Ch. 1.1 - Prob. 14P Ch. 1.1 - Prob. 15P Ch. 1.1 - Prob. 16P Ch. 1.1 - Prob. 17P Ch. 1.1 - Prob. 18P Ch. 1.1 - Prob. 19P Ch. 1.1 - Prob. 20P Ch. 1.1 - Prob. 21P Ch. 1.1 - Prob. 22P Ch. 1.1 - Prob. 23P Ch. 1.1 - Prob. 24P Ch. 1.1 - Prob. 25P Ch. 1.1 - Prob. 26P Ch. 1.1 - Prob. 27P Ch. 1.1 - Prob. 28P Ch. 1.1 - Prob. 29P Ch. 1.1 - Prob. 30P Ch. 1.1 - Prob. 31P Ch. 1.1 - Prob. 32P Ch. 1.1 - Prob. 33P Ch. 1.1 - Prob. 34P Ch. 1.1 - Prob. 35P Ch. 1.1 - Prob. 36P Ch. 1.1 - Prob. 37P Ch. 1.1 - Prob. 38P Ch. 1.1 - Prob. 39P Ch. 1.1 - Prob. 40P Ch. 1.2 - Prob. 1P Ch. 1.2 - Prob. 2P Ch. 1.2 - Prob. 3P Ch. 1.2 - Prob. 4P Ch. 1.2 - Prob. 5P Ch. 1.2 - Prob. 6P Ch. 1.2 - Prob. 7P Ch. 1.2 - Prob. 8P Ch. 1.2 - Prob. 9P Ch. 1.2 - Prob. 10P Ch. 1.2 - Prob. 11P Ch. 1.2 - Prob. 12P Ch. 1.2 - Prob. 13P Ch. 1.2 - Prob. 14P Ch. 1.2 - Prob. 15P Ch. 1.2 - Prob. 16P Ch. 1.2 - Prob. 17P Ch. 1.2 - Prob. 18P Ch. 1.2 - Prob. 19P Ch. 1.2 - Prob. 20P Ch. 1.2 - 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(a) To check: The whether the given table correspond to an exponential function, a linear function or neither and formula for the function.

(b) To check: The whether the given table correspond to an exponential function, a linear function or neither and formula for the function.

(c) To check: The whether the given table correspond to an exponential function, a linear function or neither and formula for the function.

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Chapter 1 Solutions

(a)

To check:

The whether the given table correspond to an exponential function, a linear function or neither and formula for the function.

(b)

To check:

The whether the given table correspond to an exponential function, a linear function or neither and formula for the function.

(c)

To check:

The whether the given table correspond to an exponential function, a linear function or neither and formula for the function.