02 points Previous A SColAlg7 21053 Find the domain and ran

0/2 points | Previous A SColAlg7 2.1.053 Find the domain and range of the function. (Enter your answers using int erval notation.) domain range Need Help? Read It Show My Work (optional Submit Answer Save Progress Practice Another Version

Solution

(1) f(x)=3x, -6<=x<=4

As f(x) is defined for all values Domain [-6,4]

when x=-6 ,f(-6) =3*(-6) =-18

x=4, f(4)=3*4 =12

Range is [-18,12]

(2) Evaluating function

f(x)=4x^2+6x-8

f(0) = 4(0)^2+6(0)-8 = -8

f(2)= 4(2)^2+6(2)-8= 16+12-8 = 20

f( 2)= 4( 2)^2+6( 2)-8= 8+6 2-8 = 6 2

f(x+1)= 4(x+1)^2+6(x+1)-8= 4(x^2+2x+1)+6x+6-8 =4x^2+8x+4+6x-2=4x^2+14x+2

f(-x)= 4(-x)^2+6(-x)-8= 4x^2-6x-8

f(x3)= 4(x3)^2+6(x3)-8= 4x^6+6x^3-8