Which is the graph of f of x is equal to 5 times 2 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 2 and 2 comma 10.
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 2 and 2 comma 50.
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 5 and 2 comma 20.
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 5 and 2 comma 10.
Explanation
For f(x) = 5 · 2^x, f(0) = 5 · 1 = 5 and f(2) = 5 · 4 = 20. So the graph passes through (0, 5) and (2, 20), matching choice C.
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