3 years ago

Write an exponential function for the graph that passes through the points (0,4) and (2, 36). Use the formula y=ab^x

Mathematics

1 answer:

fomenos3 years ago

3 0

Answer:

Using the equation y = abx , substitute both of your given points into that equation.

2 = ab2 and 4 = ab3 Solve each equation for a.

2⁄b2 and 4⁄b3 = a Therefore, 2⁄b2 = 4⁄b3

Cross multiply: 2b3 = 4b2 Divide both sides by b2

2b = 4 a = 2/4 = 1/2

b = 2

y = 1 (2)x

Step-by-step explanation:

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Write an exponential function for the graph that passes through the points (0,4) and (2, 36). Use the formula y=ab^x​

Write an exponential function for the graph that passes through the points (0,4) and (2, 36). Use the formula y=ab^x