Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 2: Q. 26 (page 100)

If $f (x) = \{\begin{cases} - 3 x i f x < - 1 \\ 0 i f x = - 1 \\ 2 x^{2} + 1 i f x > - 1 \end{cases}$
Find: (a) $f (- 2)$ and (b) $f (- 1)$ (c) $f (0)$

Short Answer

Expert verified

(a) $6$

(b) $0$

Step by step solution

Step 1.Given information

The given function $f (x) = \{\begin{cases} - 3 x i f x < - 1 \\ 0 i f x = - 1 \\ 2 x^{2} + 1 i f x > - 1 \end{cases}$

Step 2. Finding the value of f(-2)

We observe that when $x = - 2$ the equation for $f$ is given by $f (x) = - 3 x$

Substitute $- 2$ for $x$ in the function and evaluate

$f (- 2) = - 3 (- 2) = 6$

Thus,the value of $f (- 2)$ is $6$ .

Step 3.Finding the value of f(-1)

We observe that when $x = - 1$ the equation for $f$ is given by $f (x) = 0$

$f (- 1) = 0$

Thus,the value of $f (- 1)$ is $0$

Step 4. Finding the value of f(0)

When $x = 0$ the the equation is.Evaluate

$f (0) = 2 x^{2} + 1 = 2 (0) + 1 = 1$

Thus,the value of $f (0)$ is $1$ .

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91影视

If $f (x) = \{\begin{cases} - 3 x i f x < - 1 \\ 0 i f x = - 1 \\ 2 x^{2} + 1 i f x > - 1 \end{cases}$
Find: (a) $f (- 2)$ and (b) $f (- 1)$ (c) $f (0)$

Short Answer

Step by step solution

Step 1.Given information

Step 2. Finding the value of f(-2)

Step 3.Finding the value of f(-1)

Step 4. Finding the value of f(0)

One App. One Place for Learning.

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91影视

If f(x)=-3xifx<-10ifx=-12x2+1ifx>-1Find: (a)f(-2) and (b) f(-1) (c)f(0)

Short Answer

Step by step solution

Step 1.Given information

Step 2. Finding the value of f(-2)

Step 3.Finding the value of f(-1)

Step 4. Finding the value of f(0)

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Logic and Functions

Theoretical and Mathematical Physics

Calculus

Pure Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

If $f (x) = \{\begin{cases} - 3 x i f x < - 1 \\ 0 i f x = - 1 \\ 2 x^{2} + 1 i f x > - 1 \end{cases}$
Find: (a) $f (- 2)$ and (b) $f (- 1)$ (c) $f (0)$