Question

Anyone know how to do exponential functions?

Answer 1

Answer:

$y=3^x$

Step-by-step explanation:

exponential function : y = a(b)^x

where a = y intercept and b = factor ( number you are multiplying by )

according the the graph the y intercept is a 1 so a = 1

we now have y = 1(b)^x

to find the factor you plug in one of the ordered pairs into y = 1(b)^x

the ordered pair you use will not effect the outcome, i have chose (2,9)

y = 1(b)^x

(x,y) = (2,9) so x = 2 and y = 9

9 = 1(b)^2

divide both sides by 1

9 = (b)^2

take the square root of both sides

3 = b

the final equation is y = 1(3)^x or just y = 3^x