Question

Which points are on the graph of ƒ(x) = 2(0.5)x?

(0, 2)
(1, 1)
(-2, -8)
(2, 2.25)
(-1, -1)

Answer 1

0,2 and 1,1

Explanation:

Answer 2

(0, 2) and (1, 1)

Explanation:

When x=0, the exponential term is 1, so the value of the function is the multiplier, 2. Thus (0, 2) is a point on the graph.

When x=1, the value of y is half of 2, so (1, 1) is also on the graph.

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For x > 1, y < 1, so (2, 2.25) cannot be on the graph.

f(x) cannot be negative, so (-2, -8) and (-1, -1) cannot be on the graph.