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Chapter 2: Q. 28 (page 100)

If f(x)=x3if-2鈮�x<13x+2if1鈮�x鈮�4

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

Short Answer

Expert verified

(a)-1

(b)0

(c)5

(d)11

Step by step solution

01

Step 1.Given information

/the given functionf(x)=x3if-2鈮�x<13x+2if1鈮�x鈮�4

02

Step 2.Find the value of f(-1)

When x=-1, the equation for is given by f(x)=x3

localid="1645803083162" f(-1)=(-1)3=-1Therefore,thevalueoff(-1)=-1

03

Step 3.Find the value of f(0)

When x=0,the equation for is given by f(x)=x3

localid="1645802558614" f(0)=(0)3=0

Therefore,the value of f(0)=0f(0)=0

04

Step 4.Find the value of f(1)

When x=1the equation for is given by f(x)=3x+2

f(1)=3(1)+2=3+2=5

Therefore,the value off(1)=5

05

Step 5.Find the value of f(3)

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

f(3)=3(3)+2=9+2=11

Therefore,the value off(3)=11

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