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Chapter 3: Q. 343 (page 344)

(a) Graph the function f(x)=-x-2

(b) State its domain and range . Write the domain and range in interval notation

Short Answer

Expert verified

The graph of the function is

Domain:(-鈭�,鈭�)Range:(-鈭�,鈭�)

Step by step solution

01

Given Information 

The given function isf(x)=-x-2

02

Part(a) Step 1: Graph the function 

Function f(x) is in the form of f(x)=mx+b

where m is the slope and b is the y intercept .

f(x)=-x-2slope=-1yintercept=-2

Plot the y intercept (0,-2). Now use the slope =-1.

Move 1 unit down and 1 unit to the right .

Plot the point at (1,-3). Connect the points by a line .

The graph of the function is

03

Part(b) Step 1:  Domain and range

Domain is the set of x values for which the function is defined.

The graph is defined for all x values .

Domain:(-鈭�,鈭�)

Range is the set of y values for which the function is defined. The graph is defined for all y values.

Range:(-鈭�,鈭�)

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Most popular questions from this chapter

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.

f(x)=5.

Find the intercepts of the graph

.

Find the equation of a line with given slope and y-intercept and write the equation in slope-intercept form.

Slope 0 and y-intercept0,-1.

In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither.

y=-1 andy=2

Use the slope formula to find the slope of the line between each pair of points.

3,-6,2,-2.
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