Question

Does the function f(x) or g(x) have a greater value at x=2? f(x)=4∙2^x

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

graph: g(x)

function: f(x) = 4 * 2 ^ x

Step 02:

greater value ==> x = 2:

graph: g(x)

x = 2 , y = 18

g(2) = 18

function: f(x) = 4 * 2 ^ x

$f(2)\text{ = 4 }\cdot2^2=\text{ 4 }\cdot\text{ 4 = 16}$

The answer is:

g(x) has a greater value at x = 2