Question

Write an equation for each exponential function in the form y=abₓ (to the xth power)

- through the points (0,2) and (3,1458)

Answer 1

y = 2 * 9 ^ x

Explanation:

From the first point, you can get the value of a, since any number with power 0 with always equal to 1

• 2 = a(1)
• a = 2

Now you have y = (2)(b ^x), use the second point, substitute the value of X and y to (3,1458) to get the B value.

• 1458 = 2b ^ 3
• 729 = b ^ 3
• B = 9