Write an equation to represent the exponential function.

Question

For the x-values, it shows the numbers -1, 0, 1, and 2. For the y-values, the numbers are 3/4, 3, 12, and 48. I don’t understand this because I don’t understand what the formula is.

Answer 1

the ordered pairs are (-1,3/4), (0,3), (1,12), and (2,48)

an exponential function looks like this:

y=ab^x

substitute the x and y values

3/4=ab^(-1)

3/4=a/b

3=ab^0

3=a*1

3=a, so b=4

y=ab^x

y=3(4^x) is the equation that you want

if x=-1, then y=3/4

if x=0, then y=3

if x=1, then y=12

if x=2, then y=3*4^2=3*16=48