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Chapter 3: Q 358. (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 given function is(-鈭�,鈭�).Range of the function is[0,鈭�).

Step by step solution

01

Step 1. Given Information

Given function are f(x)=2x2.

02

Step 2. Linear function

It is not a linear function. Create the values using x-values. It can form ordered pairs. Connect and plot them to form graph.

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 of the function 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 [0,鈭�).

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Most popular questions from this chapter

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