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Chapter 6: 6.100 (page 620)

For the function f(x)=x2-8x+3

(a) find xwhenf(x)=-4

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

Short Answer

Expert verified

The value ofxis1,7and points lying on the graph is(1,-4),(0,3)

Step by step solution

01

Given information

Given the functionf(x)=x2-8x+3

02

Substitute, f(x)=-4 and calculate the value

Substituting the values, we get

-4=x2-8x+3x2-8x+7=0x2-7x-x+7=0x(x-7)-1(x-7)=0(x-1)(x-7)=0x=1,7

03

Calculate the corresponding y values

The corresponding points that lie on the graph is (1,-4),(0,3)the graph of which is

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