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Chapter 3: Q 360. (page 344)

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

f(x)=-2x2.

Short Answer

Expert verified

Domain of the function is(-鈭�,鈭�).Range of the function is(-鈭�,0].

Step by step solution

01

Step 1. Given Information

Given function isf(x)=-2x2.

02

Step 2. Formation of ordered pairs

It is not linear function and create the different x-values. The ordered pairs can be formed. Connect and plot them for graph formation.

x
y=f(x)
(x,y)
0
y=-2(0)2鈫�y=0
(0,0)
-1
y=-2(-1)2鈫�y=-2
(-1,-2)
1
y=-2(1)2鈫�y=-2
(1,-2)
-2
y=-2(-2)2鈫�y=-8
(-2,-8)
2
y=-2(2)2鈫�y=-8
(2,-8)
03

Step 3. Graph of the function

The graph can be drawn as,

04

Step 4. Domain and range

Given function is a quadratic function, domain of quadratic function is all real numbers. Domain of the function is (-鈭�,鈭�).Given function is a quadratic function and graph represent the y-positive values, range of given function is all real numbers which is greater than or equal to zero. Range of the function is (-鈭�,0].

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Most popular questions from this chapter

Graph:f(x)=x2

Graph each line with the given point and slope.

2,5;m=-13.

Graph: f(x) = 鈭�2

Find the intercepts of the equationx-2y=8.

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

Slope-34and y-intercept0,-2.
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