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Which function could be a stretch of the exponential decay

function shown on the graph?
f(x) = 2(6)
f(x) = 1/2(6)
f(x) = 2[1/6]
f(x) = 1/2[1/6]​

Which function could be a stretch of the exponential decay function shown on the graph-example-1
User DotBert
by
7.3k points

1 Answer

3 votes

Answer:

(x) = 2(1/6)^x

Explanation:

To easily solve this problem, we can graph each option using a graphing calculator, or any equation plotting tool.

Case 1

f(x) = 2(6)^x

Case 2

f(x) = 1/2*(6)^x

Case 3

f(x) = 2(1/6)^x

Case 4

f(x) = 1/2*(1/6)^x

By looking at the pictures below, we can tell that the correct option is

Case 3

f(x) = 2(1/6)^x

Since the stretch is done by a factor of 2

Which function could be a stretch of the exponential decay function shown on the graph-example-1
User Amruta Deshmukh
by
7.0k points