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Chapter 3: Q. 11 (page 176)

Consider the function fx=xx+4.

(a) Is the point 1,14on the graph of function.

(b) if x=-2, what is f(x). What point is on the graph of f ?

(c) If fx=2, what is x? What point is on the graph of f ?

Short Answer

Expert verified

Part (a). The point 1,14is not on the graph of the function.

Part (b). f(x)=-1, point -2,-1is on the graph.

Part (c) .x=-8, point-8,2is on the graph.

Step by step solution

01

Step 1. Given information.

The given function isf(x)=xx+4.

02

Part (a) Step 1. Check the point 1,14 on the graph of the function.

Put the coordinates of the points x,y=1,14in the equation.

f(x)=xx+414=11+414鈮�15

The point is not satisfy the equation, so the point is not on the graph of the function.
03

Part (b) Step 1. Find the value of f(x) when x=-2.

The given function is f(x)=xx+4.

Put x=-2into the function.

f(x)=xx+4f(-2)=-2-2+4f(-2)=-22=-1

So, when x=-2the value of the function is -1.

The point on the graph of f is-2,-1.

04

Part (c) Step 1. Find the value of x when f(x)=2.

The given function is f(x)=xx+4.

Put f(x)=2into the function.

f(x)=xx+42=xx+42x+8=x2x-x+8=0x+8=0x=-8

So, the when f(x)=2, the value of x=-8.

The point on the graph of f is-8,2.

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