Answer:
p(x): y-intercept is 4; the base is 3; the equation is p(x) = 4(3^x)
q(x): y-intercept is 4; the base is 2; the equation is p(x) = 4(2^x)
Step-by-step explanation:
The y-intercept of both graphs is 4
The standard exponential function equation is
y = ab^x
We need to find a and b for each function.
For each graph, we use two points to find a and b in the standard exponential function equation.
p(x)
y = ab^x
Use point (0, 4)
4 = ab^0
4 = a * 1
a = 4
y = 4(b^x)
Use point (1, 12)
12 = 4(b^1)
b = 12/4
b = 3
The base is 3.
p(x) = 4(3^x)
q(x)
y = ab^x
Use point (0, 4)
4 = ab^0
4 = a * 1
a = 4
y = 4(b^x)
Use point (1, 8)
8 = 4(b^1)
b = 8/4
b = 2
The base is 2.
q(x) = 4(2^x)
