Given the functions f (x) = 3 (0.56) ^x and g (x) = 6 (4) ^x

Part A: is f (x) increasing or decreasing? Is g (x) increasing or decreasing? Explain your reasoning.

Part B: what is the y intercept of each function?

Part C: what is the value of each function when x = 4?

A) f (x) is decreasing because the base is less than 1.

0.56 is close to 0.5, so its like saying that you are taking half each time, therefore the value is getting smaller.

g (x) is increasing because the base is greater than 1.

you are multiplying by 4 each time, making the value bigger.

B) The y-intercept is where x=0.

Anything to the '0' power is 1. Therefore the y-intercept is equal to the coefficient in front of each function.

f (x) = 3, g (x) = 6

C) Just plug in x=4 to each function in a calculator.

f (4) = 0.295

g (4) = 1536