Question

Given the linear function f(x)= 5x
, Use a table to determine how the function grows. What is the change (Δf(x)
)



(1 point)
Responses

Δf(x)=10
Δf(x)=10

Δf(x)=2
Δf(x)=2

Δf(x)=5
Δf(x)=5

Δf(x)=12
Δf(x)=12

Answer 1

Δf(x) = 5

Reason: f(x) = 5x has slope 5, so for each increase of 1 in x, f(x) increases by 5. (e.g., x: 0→1 gives f: 0→5; 1→2 gives 5→10, change = 5.)