Which is the graph of f of x is equal to 0 point 5 times 4 to the x th power ?
Answer
A
Image with description On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points 0 comma one half, 2 comma 8, 3 comma 32.
B
Image with description On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points 0 comma 4, 1 comma 16, 2 comma 64.
C
Image with description On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points 0 comma one half, 1 comma 8, 2 comma 32.
D
Image with description On a coordinate plane, an exponential growth function approaches y = 0 in the second quadrant and goes through points 0 comma one half, 3 comma 8, 4 comma 16.
Explanation
For f(x) = 0.5 × 4^x, substituting x = 0 gives 0.5, x = 2 gives 0.5 × 16 = 8, and x = 3 gives 0.5 × 64 = 32. These points match the graph in choice D.
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