Q. 2 For the function f(x)聽=聽2x2聽-... [FREE SOLUTION]

91影视

Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 5: Q. 2 (page 352)

For the function $f (x) = 2 x^{2} - 3 x + 1$ , find the following:
$(a) f (3) (b) f (- x) (c) f (x + h)$

Short Answer

Expert verified

The value of $f (3) i s 10$
The value of $f (- x) i s 2 x^{2} + 3 x + 1$
The value of $f (x + h) i s 2 x^{2} + (4 h - 3) x + (2 h^{2} - 3 h + 1)$

Step by step solution

Part (a) Step 1. Given Information and Solution:

We want to find the value of $f (3)$

f(3) means that in the function f instead of the variable x we write 3, i.e. x = 3.

role="math" localid="1647319660407" $I f f (x) = 2 x^{2} - 3 x + 1 t h e n f (3) = 2 {(3)}^{2} - 3 (3) + 1 = 10$

Part (b) Step 1. Given Information and Solution:

We want to find the value of $f (- x)$

$f (- x)$ means that in the function f instead of the variable x we write $- x, i . e . x = - x$

role="math" localid="1647319994620" $I f f (x) = 2 x^{2} - 3 x + 1 t h e n f (- x) = 2 {(- x)}^{2} - 3 (- x) + 1 f (- x) = 2 x^{2} + 3 x + 1$

Part (c) Step 1. Given Information and Solution:

We want to find the value of $f (x + h)$

$f (x + h)$ means that in the function f instead of the variable x we write $x + h, i . e . x = x + h .$

$I f f (x) = 2 x^{2} - 3 x + 1 t h e n f (x + h) = 2 {(x + h)}^{2} - 3 (x + h) + 1 f (x + h) = 2 (x^{2} + 2 x h + h^{2}) - 3 x + 3 h + 1 f (x + h) = 2 x^{2} + 4 x h + 2 h^{2} - 3 x + 3 h + 1 f (x + h) = 2 x^{2} + (4 h - 3) x + (2 h^{2} + 3 h + 1)$

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91影视

For the function $f (x) = 2 x^{2} - 3 x + 1$ , find the following:
$(a) f (3) (b) f (- x) (c) f (x + h)$

Short Answer

Step by step solution

Part (a) Step 1. Given Information and Solution:

Part (b) Step 1. Given Information and Solution:

Part (c) Step 1. Given Information and Solution:

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91影视

For the function f(x)=2x2-3x+1, find the following:(a)f(3)(b)f(-x)(c)f(x+h)

Short Answer

Step by step solution

Part (a) Step 1. Given Information and Solution:

Part (b) Step 1. Given Information and Solution:

Part (c) Step 1. Given Information and Solution:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

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Probability and Statistics

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Discrete Mathematics

Study anywhere. Anytime. Across all devices.

For the function $f (x) = 2 x^{2} - 3 x + 1$ , find the following:
$(a) f (3) (b) f (- x) (c) f (x + h)$