Question

How do you find an exponential function given the points are (0,13) and (2,325)

Answer 1

Answer:

y = 13$(5)^{x}$

Step-by-step explanation:

An exponential function has the form

y = a $b^{x}$

To find a and b use the given points

Using (0, 13), then

13 = a $b^{0}$ , since $b^{0}$ = 1, then

a = 13, thus

y = 13 $b^{x}$

using (2, 325) , then

325 = 13 b² ( divide both sides by 13 )

25 = b² ( take the square root of both sides )

5 = b

y = 13 × $5^{x}$ ← is the exponential function