Question

Use the image to answer the question.

A concave-up, increasing curve is plotted on a coordinate plane where the x-axis ranges from negative 2 to 4 in increments of 2 and the y-axis ranges from 0 to 20 in increments of 5. The curve passes through 3 marked points.
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The curve starts from the second quadrant and ends in the first quadrant. The marked points are located as follows: left parenthesis 0 comma 4 right parenthesis, left parenthesis 1 comma 7.6 right parenthesis, and left parenthesis 2 comma 14.44 right parenthesis.


Use the graph to fill in the missing elements of the exponential growth equation.

(1 point)
y=

(
) ^x

Answer 1

y = 4(1.9)^x

(From (0,4) ⇒ a = 4, and (1,7.6) ⇒ 4·b = 7.6 ⇒ b = 1.9, which also matches (2,14.44).)