Q.95 (a) Graphf(x)=2x-4 f(b) Find the... [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.95 (page 316)

(a) Graph $f (x) = 2^{x} - 4$ f
(b) Find the zero of f.
(c) Based on the graph, solve $f (x) < 0$ .

Short Answer

Expert verified

a) The graph of the function is

b) The zero of the function is $x = 2$

c) The value of $f (x) < 0$ is when $x < 2$

Step by step solution

Given information

We are given a function $f (x) = 2^{x} - 4$

Part a) Step 1: Create a table to plot the graph of function

We get,

x	$f (x) = 2^{x} - 4$
-1	$- \frac{7}{2}$
0	-3
1	-2
2	0
3	4

The graph of the function is

Part b) Step 1: Solve for f(x)=0

We get,

$f (x) = 0 2^{x} - 4 = 0 2^{x} = 4 2^{x} = 2^{2} x = 2$

$x = 2$ is the zero of the function.

Part c) Step 1: Solve for f(x)<0

From the graph the zero of the function is at $(2, 0)$ ,hence $f (x) < 0 f o r x < 2$

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91影视

(a) Graph $f (x) = 2^{x} - 4$ f
(b) Find the zero of f.
(c) Based on the graph, solve $f (x) < 0$ .

Short Answer

Step by step solution

Given information

Part a) Step 1: Create a table to plot the graph of function

Part b) Step 1: Solve for f(x)=0

Part c) Step 1: Solve for f(x)<0

One App. One Place for Learning.

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91影视

(a) Graphf(x)=2x-4 f(b) Find the zero of f.(c) Based on the graph, solve f(x)<0.

Short Answer

Step by step solution

Given information

Part a) Step 1: Create a table to plot the graph of function

Part b) Step 1: Solve for f(x)=0

Part c) Step 1: Solve for f(x)<0

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Theoretical and Mathematical Physics

Statistics

Applied Mathematics

Decision Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

(a) Graph $f (x) = 2^{x} - 4$ f
(b) Find the zero of f.
(c) Based on the graph, solve $f (x) < 0$ .