Which of the following functions has the largest value when x = 3? c(x) = 3x2 + 5x + 22 j(x) = 12x a(x) = 9x a. all functions are equal when x = 3 b. c(x) c. j(x) d. a(x)

B. c(x)

the output for c(x) is largest at 64 (compared to 36 and 27 for j(x) and a(x) respectively)



Work Shown:

For each function, replace every x with 3 and then use PEMDAS to evaluate

Start with c(x)
c(x) = 3x^2 + 5x + 22
c(3) = 3(3)^2 + 5(3) + 22
c(3) = 3(9) + 5(3) + 22
c(3) = 27 + 15 + 22
c(3) = 64
If the input is x = 3, then the output for c(x) is 64

Then move onto j(x)
j(x) = 12*x
j(3) = 12*3
j(3) = 36
The output here is 36

Finally move onto a(x)
a(x) = 9x
a(3) = 9*3
a(3) = 27
The output is 27



In summary:
the output for c(x) is 64
the output for j(x) is 36
the output for a(x) is 27

We see that c(x)=64 is the largest output when the input is x = 3