Question

given the function f(x) = 3x + 1 and the linear function g(x), which function has a greater value when x = 3?
a f(x) is greater
b g(x) is greater
c f(x) and g(x) are the same when x = 3.
d g(x) is undefined when x = 3.

Explanation:

Step1: Calculate f(3)

Substitute x = 3 into f(x)=3x + 1. So f(3)=3×3 + 1=9 + 1=10.

Step2: Determine g(3) from graph

From the graph of g(x), when x = 3, the value of g(x) is 8.

Step3: Compare f(3) and g(3)

Since 10>8, f(x) is greater when x = 3.

Answer:

A. f(x) is greater