Question

Which exponential function is represented by the

Answer 1

Answer:

2nd option

Step-by-step explanation:

The exponential function is of the form

y = a$b^{x}$

Use the points on the graph to find values of a and b

Using (0, 0.5 ) , then

0.5 = a$b^{0}$ ( $b^{0}$ = 1 ) , so

a = 0.5 = $\frac{1}{2}$

y = $\frac{1}{2}$$b^{x}$

Using (1, 1 )

1 = $\frac{1}{2}$ $b^{1}$ ( multiply both sides by 2 )

2 = b

Then

y = $\frac{1}{2}$ $(2)^{x}$ ← exponential function representing graph