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Chapter 6: Q 6.99 (page 620)

For the function f(x)=x2-2x-8

(a) find xwhenf(x)=7

(b) Find two points that lie on the graph of the function.

Short Answer

Expert verified

The value of xis -3,5and the points lying on the graph is(0,-8),(1,-9)

Step by step solution

01

Given information 

Given the equationf(x)=x2-2x-8

02

Substitute f(x)=7 and calculate the value

Substituting the value, we get

7=x2-2x-8x2-2x-15=0x2-5x+3x-15=0x(x-5)+3(x-5)=0(x+3)(x-5)=0x=-3,5

03

Calculate the corresponding y values 

The values are (0,-8),(1,-9)the graph of which is

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