Question

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

Answer 1

To determine the function which has the largest value at x=3,

We will calculate the value of each function by substituting the value of x=3 in each of the given function.

Let us consider the first function,

$c(x)=3x^{2}+5x+22$

$c(3)=3\times 3^{2}+5 \times 3+22$

$c(3)=27+15+22$

$c(3)=64$

Let us consider the second function,

$j(x)=12x$

$j(x)=12 \times 3 =36$

Let us consider the third function,

$a(x)=9x$

$a(x)=9 \times 3=27$

Therefore, the function c(x) has the largest value at x=3.