(a) Whether the function f ( x ) = 3 − x is an increasing function, decreasing function or neither increasing or decreasing.

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Answer 1

Question

Chapter 1, Problem 17CRE

To determine

(a)

Whether the function $f (x) = 3^{- x}$ is an increasing function, decreasing function or neither increasing or decreasing.

To determine

(b)

Whether the function $f (x) = \frac{1}{x^{2} + 1}$ is an increasing function, decreasing function or neither increasing or decreasing.

To determine

(c)

Whether the function $g (t) = t^{2} + t$ is an increasing function, decreasing function or neither increasing or decreasing.

To determine

(d)

Whether the function $g (t) = t^{3} + t$ is an increasing function, decreasing function or neither increasing or decreasing.

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The graph of f(x) is given in the figure below. draw tangent lines to the graph at x=-3,x=-2,x=1,and x=4. estimate f'(-3),f'(-2),f'(1),and f'(4). Round your answers to one decimal place.

Answer 2

Question

Chapter 1, Problem 17CRE

To determine

(a)

Whether the function $f (x) = 3^{- x}$ is an increasing function, decreasing function or neither increasing or decreasing.

To determine

(b)

Whether the function $f (x) = \frac{1}{x^{2} + 1}$ is an increasing function, decreasing function or neither increasing or decreasing.

To determine

(c)

Whether the function $g (t) = t^{2} + t$ is an increasing function, decreasing function or neither increasing or decreasing.

To determine

(d)

Whether the function $g (t) = t^{3} + t$ is an increasing function, decreasing function or neither increasing or decreasing.

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 1, Problem 17CRE

To determine

(a)

Whether the function $f (x) = 3^{- x}$ is an increasing function, decreasing function or neither increasing or decreasing.

To determine

(b)

Whether the function $f (x) = \frac{1}{x^{2} + 1}$ is an increasing function, decreasing function or neither increasing or decreasing.

To determine

(c)

Whether the function $g (t) = t^{2} + t$ is an increasing function, decreasing function or neither increasing or decreasing.

To determine

(d)

Whether the function $g (t) = t^{3} + t$ is an increasing function, decreasing function or neither increasing or decreasing.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 1, Problem 17CRE

To determine

(a)

Whether the function $f (x) = 3^{- x}$ is an increasing function, decreasing function or neither increasing or decreasing.

To determine

(b)

Whether the function $f (x) = \frac{1}{x^{2} + 1}$ is an increasing function, decreasing function or neither increasing or decreasing.

To determine

(c)

Whether the function $g (t) = t^{2} + t$ is an increasing function, decreasing function or neither increasing or decreasing.

To determine

(d)

Whether the function $g (t) = t^{3} + t$ is an increasing function, decreasing function or neither increasing or decreasing.

Expert Solution & Answer

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See solution

Answer 5

Chapter 1, Problem 17CRE

To determine

(a)

Whether the function $f (x) = 3^{- x}$ is an increasing function, decreasing function or neither increasing or decreasing.

To determine

(b)

Whether the function $f (x) = \frac{1}{x^{2} + 1}$ is an increasing function, decreasing function or neither increasing or decreasing.

To determine

(c)

Whether the function $g (t) = t^{2} + t$ is an increasing function, decreasing function or neither increasing or decreasing.

To determine

(d)

Whether the function $g (t) = t^{3} + t$ is an increasing function, decreasing function or neither increasing or decreasing.

Answer 6

Chapter 1, Problem 17CRE

To determine

(a)

Whether the function $f (x) = 3^{- x}$ is an increasing function, decreasing function or neither increasing or decreasing.

Answer 7

Chapter 1, Problem 17CRE

To determine

(a)

Whether the function $f (x) = 3^{- x}$ is an increasing function, decreasing function or neither increasing or decreasing.

Answer 8

To determine

(b)

Whether the function $f (x) = \frac{1}{x^{2} + 1}$ is an increasing function, decreasing function or neither increasing or decreasing.

Answer 9

To determine

(b)

Whether the function $f (x) = \frac{1}{x^{2} + 1}$ is an increasing function, decreasing function or neither increasing or decreasing.

Answer 10

To determine

(c)

Whether the function $g (t) = t^{2} + t$ is an increasing function, decreasing function or neither increasing or decreasing.

Answer 11

To determine

(c)

Whether the function $g (t) = t^{2} + t$ is an increasing function, decreasing function or neither increasing or decreasing.

Answer 12

To determine

(d)

Whether the function $g (t) = t^{3} + t$ is an increasing function, decreasing function or neither increasing or decreasing.

Answer 13

To determine

(d)

Whether the function $g (t) = t^{3} + t$ is an increasing function, decreasing function or neither increasing or decreasing.

Answer 14

Expert Solution & Answer

Answer 15

Expert Solution & Answer

Answer 16

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Answer 17

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

(a) Whether the function f ( x ) = 3 − x is an increasing function, decreasing function or neither increasing or decreasing.

(a) Whether the function f(x) = 3−x is an increasing function, decreasing function or neither increasing or decreasing.

(b) Whether the function f(x) = 1x2 + 1 is an increasing function, decreasing function or neither increasing or decreasing.

(c) Whether the function g(t) = t2+ t is an increasing function, decreasing function or neither increasing or decreasing.

(d) Whether the function g(t) = t3+ t is an increasing function, decreasing function or neither increasing or decreasing.

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Chapter 1 Solutions

(a)

Whether the function $f (x) = 3^{- x}$ is an increasing function, decreasing function or neither increasing or decreasing.

(b)

Whether the function $f (x) = \frac{1}{x^{2} + 1}$ is an increasing function, decreasing function or neither increasing or decreasing.

(c)

Whether the function $g (t) = t^{2} + t$ is an increasing function, decreasing function or neither increasing or decreasing.

(d)

Whether the function $g (t) = t^{3} + t$ is an increasing function, decreasing function or neither increasing or decreasing.