Question

x to f(x)
2 to 6
3 to 3
4 to 1.5
5 to 0.75
6 to 0.375

The table represents some points on the graph of an exponential function. Which function represents the relationship?

(1 point)
Responses

y=6(0.5)x
y is equal to 6 times 0 point 5 to the x th power

y=24(5)x
y is equal to 24 times 5 to the x th power

y=0.5x
y is equal to 0 point 5 to the x th power

y=24(0.5)x
y is equal to 24 times 0 point 5 to the x th power

Answer 1

y = 24(0.5)^x

Reason: Each increase of 1 in x halves f(x), so the base is 0.5. Use (2,6): A(0.5)^2 = 6 → A = 6/0.25 = 24, so y = 24(0.5)^x.