Question

On a piece of paper graph f(x) =6 • (0.4)^x. Then determine which answer choice matches the graph you drew

Answer 1

Let x be the following values: 1, 2, 3, 4 , 5.

Let f(x) = y.

I will do one only.

Let x = 1

y = 6•(0.4)^(1)

y = 6•(0.4)

y = 2.4

Your first point is (1, 2.4).

Do the rest in like manner. Then graph each point on the xy-plane and lastly connect each point with a smooth curve.

Got it?

Answer 2

The general form of an exponential function is

.... (1)

Where, a is initial value and b is growth or decay factor.

If b>1, then it is an increasing function and if 0<b<1, then it is a decreasing function.

The given function is

.... (2)

From (1) and (2) it is clear that

The value of a is 6. It means the initial value or y-intercept of the function is 6.

The value of b is 0.4, which is less than 1. It means the function is a decreasing function.