Chapter 6: 6.100 (page 620)

For the function $f (x) = x^{2} - 8 x + 3$
(a) find $x$ when $f (x) = - 4$
(b) Find two points that lie on the graph of the function.

Short Answer

Expert verified

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

Step by step solution

Given information

Given the function $f (x) = x^{2} - 8 x + 3$

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

Substituting the values, we get

$- 4 = x^{2} - 8 x + 3 x^{2} - 8 x + 7 = 0 x^{2} - 7 x - x + 7 = 0 x (x - 7) - 1 (x - 7) = 0 (x - 1) (x - 7) = 0 x = 1, 7$

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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For the function $f (x) = x^{2} - 8 x + 3$
(a) find $x$ when $f (x) = - 4$
(b) Find two points that lie on the graph of the function.

Short Answer

Step by step solution

Given information

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

Calculate the corresponding y values

One App. One Place for Learning.

Most popular questions from this chapter

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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

Step by step solution

Given information

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

Calculate the corresponding y values

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Calculus

Theoretical and Mathematical Physics

Mechanics Maths

Applied Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

For the function $f (x) = x^{2} - 8 x + 3$
(a) find $x$ when $f (x) = - 4$
(b) Find two points that lie on the graph of the function.