Question

The exponential function h whose graph is given below, can be written as h(x)=a*b^x Complete the equation for h(x)

Answer 1

h(x) = 3*2^x

Explanation:

Answer 2

• h(x) = 3*2^x

Explanation:

Given

• Equation h(x)=a*b^x and its graph

Two points given on the graph:

• h(0) = 3 and
• h(1) = 6

Substitute the coordinates and simplify:

• ab^0 = 3 ⇒ a = 3
• ab^1 = 6 ⇒ ab = 6

Divide the second equation by the first to find the value of b:

• b = 6/3 = 2

The equation is:

• h(x) = 3*2^x