Question

Match the graph of the function with the function rule.

A) y = 1 • 4x

B) y = 3 • 10x

C) y = 2 • 4x

D) y = 10 • 4x

Answer 1

D)
`y = 10 * 4^(x)`

Explanation:

Replace each function with x = 0

A)
`y = 1*4^(x) \\y = 1*4^(0) \\y = 1`

B)
`y = 3*10^(x) \\y= 3* 10^(0) \\y = 3 \\`

C)
`y = 2*4^(x) \\y = 2*4^(0) \\y = 2`

D)
`y = 10*4^(x) \\y= 10*4^(0) \\y = 10`

If you check the graph with x = 0, the value of y is between 8 and 12 so the only probably answer acoording to the alternatives is D) which gives y = 10 when x = 0