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Chapter 3: Q 359. (page 344)

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

f(x)=-3x2.

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)=-3x2.

02

Step 2. Formation of ordered pairs

It is not a linear function and create the table using different values of x. It can form ordered pairs. Connect and plot to create graph.

x
y=f(x)
(x,y)
0
y=-3(0)2鈫�y=0
(0,0)
-1
y=-3(-1)2鈫�y=-3
(-1,-3).
1
y=-3(1)2鈫�y=-3
localid="1658558186663" (1,-3)
-2
y=-3(-2)2鈫�y=-12
(-2,-12)
2
y=-3(2)2鈫�y=-12
(2,-12)
03

Step 3. Graph of the function

The graph of the drawn using slope and intercept 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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