/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 27 If f(x)=2x-4聽聽聽聽聽聽聽if聽-1... [FREE SOLUTION] | 91影视

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Chapter 2: Q. 27 (page 100)

If f(x)=2x-4if-1鈮�x鈮�2x3-2if2<x鈮�3

Find: (a) f(0) (b) f(1) (c) f(2) (d)f(3)

Short Answer

Expert verified

(a)-4

(b)-2

(c) 0

(d) 25

Step by step solution

01

Step 1.Given information

The given functionf(x)=2x-4if-1鈮�x鈮�2x3-2if2<x鈮�3

02

Step 2.Find the value of f(0)

When x=0, the equation for is given by f(x)=2x-4.

Replace xwith 0in the function and simplify

f(0)=2(0)-4=-4

Therefore,the value off(0)=-4.

03

Step 3.Find the value of f(1)

When x=1,the equation for is given by f(x)=2x-4

Replace xwith 1in the function and simplify.

f(1)=2(1)-4=2-4=-2

Therefore,the value off(1)=-2

04

Step 4.Find the value of f(2)

When x=2,the equation for is given by f(x)=2x-4

Replace xwith 2in the function and simplify

f(2)=2(2)-4=4-4=0

Therefor,the value off(2)=0

05

Step 5.Find the value of f(3)

When x=3,the equation for is given by f(x)=x3-2

Replace xwith 3in the function and simplify

role="math" localid="1645801017731" f(3)=(3)3-2=27-2=25

Therefore,the value off(3)=25

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Most popular questions from this chapter

Suppose that the graph of a function fis known. Then the graph of y=f(-x) may be obtained by a reflection about the ________-axis of the graph of the function y=f(x).

True or False

The graph of y=-f(x)is the reflection about the x-axis of the graph of y=f(x).

A right triangle has one vertex on the graph of y=9-x2,x>0, at x,y, another at the origin, and the third on the positive x-axis at x,0. Express the area Aof the triangle as a function of x.

In Problems 7鈥�18, match each graph to one of the following functions:

A.y=x2+2B.y=-x2+2C.y=x+2D.y=-x+2E.y=(x-2)2F.y=-(x+2)2G.y=x-2H.y=-x+2I.y=2x2J.y=-2x2K.y=2xL.y=-2x

Exploration Graph y=x. Then on the same screen graph y=-x. What pattern do you observe? Now try y=2x+1 and y=2(-x)+1. What do you conclude?
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