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Question

Identify the graph of the polynomial function f
f(x)=x2+2x−3
488930.PNG

A
graph a
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B
graph b
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C
graph c
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D
graph d
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Solution

The correct option is A graph a

Let y=x2+2x3

The graph of f(x) in this example is the graph of y=x2+2x3. It is easy to generate points on the graph.
Choose a value for the first coordinate, then evaluate y at that number to find the second coordinate.
The several values for x and the function y evaluated at those numbers.

If x=0, then y=(0)2+2(0)3=0+03=3implies the point is (0,3).

If x=1, then y=(1)2+2(1)3=1+23=0implies the point is (1,0).

If x=1, then y=(1)2+2(1)3=123=4implies the point is (1,4).

Hence, the graph of the function is shown above.

575512_488930_ans.png

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