Let's start by writing out their factors.
4: <em><u>1</u></em><em>, </em><em><u>2</u></em><em>, </em><em><u>4</u></em>
24: <em><u>1</u></em><em>, </em><em><u>2</u></em><em>, 3, </em><em><u>4</u></em><em>, 6, 8, 12, 24</em>
The greatest factor that and
have in common is
.
Factor out from both terms.
Step-by-step explanation:
The equation of a exponential function is
where a is the y value of the y intercept, b is the constant rate of change.
Here the y intercept is (0,4), the y value of the y intercept is 4.
So a=4
The graph passes through point (1,2) so
Plug in 1 for x, 2 for h(x)
Anything to the first power is itself so
Isolate b.
So our function is