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Chapter 2: Q. 5 (page 126)

Using the graph of the function f:

(a) Find the domain and the range of f.

(b) List the intercepts.

(c) Find f(1).

(d) For what value(s) of xdoes f(x)=-3?

(e) Solve f(x)<0.

Short Answer

Expert verified

(a) Domain is x鈭�[-5,5]

Range is y鈭�[-3,3]

(b) x-intercepts are (-2,0)and (2,0)

y-intercept is (0,2)

(c) f(1)=3

(d) f(x)=-3at x=-5and x=3

(e) f(x)<0forrole="math" localid="1645962870014" x鈭�[-5,-2)鈭�(2,5]

Step by step solution

01

Step 1. Part (a) Find the domain and the range of f.

By looking at the graph,

Domain is x鈭�[-5,5]

Range isy鈭�[-3,3]

02

Step 2. Part (b) List the intercepts.

By looking at the graph,

x-intercepts are (-2,0)and (2,0)

y-intercept is(0,2)

03

Step 3. Part (c) Find f(1)

By looking at the graph,

f(1)=3

04

Step 4. Part (d) Find values of x for which f(x)=-3.

By looking at the graph,

f(x)=-3at role="math" localid="1645962742345" x=-5,3

05

Step 5. Part (e) Solve f(x)<0.

By looking at the graph,

f(x)<0 is forx鈭�[-5,-2)鈭�(2,5]

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