Answer:
The table can be filled as shown below.
Step-by-step explanation:
The first function is
[tex]f(x)=4x+8[/tex]
Put different values of x and find values of f(x).
For x=-2
[tex]f(-2)=4(-2)+8=0[/tex]
For x=-1
[tex]f(-1)=4(-1)+8=4[/tex]
Similarly for x=0,1,2 the value of f(x) are 8,12,16 respectively.
The second function is
[tex]f(x)=\frac{2}{3}x+8[/tex]
For x= -6
[tex]f(-6)=\frac{2}{3}(-6)+8=4[/tex]
For x= -3
[tex]f(-3)=\frac{2}{3}(-3)+8=6[/tex]
Similarly for x=0,3,6 the value of f(x) are 8,10,12 respectively.
The third function is
[tex]f(x)=5^{x-2}+7[/tex]
For x= 2
[tex]f(2)=5^{2-2}+7=8[/tex]
For x= 3
[tex]f(3)=5^{3-2}+7=12[/tex]
Similarly for x=4,5,6 the value of f(x) are 32,132,632 respectively.
The fourth function is
[tex]f(x)=(\frac{1}{4})^x-5[/tex]
For x=-4
[tex]f(-4)=(\frac{1}{4})^{-4}-5=4^4-5=251[/tex]
For x=-3
[tex]f(-3)=(\frac{1}{4})^{-3}-5=4^3-5=59[/tex]
Similarly for x=-2,-1,0 the value of f(x) are 11,-1,-4 respectively.
