Question

See picture ~ 1.EThis table shows some values of thefunction f(x) = 1/4(3/2) ^xWhen the x-value changes by 1 unit, the function's valuechanges by. ?So f(x) demonstrates that exponential functions change by equal ? over equal intervals.

Answer 1

EXPLANATION :

f(x) has values of 1/6, 1/4, 3/8, 9/16, 27/32

As you notice, the next term is 3/2 of the previous term :

1/6 x 3/2 = 1/4

1/4 x 3/2 = 3/8

3/8 x 3/2 = 9/16

9/16 x 3/2 = 27/32

So we can say that the function's value changes by a factor of 3/2.

Then f(x) demonstrates that exponent functions change by equal ratios over equal intervals.