Question

How are the graphs of the functions f(x) = StartRoot 16 EndRoot Superscript x and g(x) = RootIndex 3 StartRoot 64 EndRoot Superscript xrelated?

The functions f(x) and g(x) are equivalent.

The function g(x) increases at a faster rate.

The function g(x) has a greater initial value.

The function g(x) decreases at a faster rate.

Answer 1

Answer:

• A. The functions f(x) and g(x) are equivalent.

Step-by-step explanation:

Given  functions:

• f(x) = √16 = √4² = 4
• g(x) = ∛64 = ∛4³ = 4

As we see both function are same once roots cleared.

Correct choice is A

Answer 2

Step-by-step explanation:

• f(x) = $\sqrt{16} = 4$
• g(x) = $\sqrt[3]{64} = 4$
• f(x) = g(x) ==> 4 = 4

Soo, answer is option (A.)