Question

(Please Help!!!)

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

A.) (0, 2)
B.) (1, 1)
C.) (-2, -8)
D.) (2, 2.25)
E.) (-1, -1)

Answer 1

Points A (0, 2) and B (1, 1) are on the graph

Explanation:

The graph of the exponential function ...

... f(x) = 2·0.5^x

will never go negative, so points C and E can be ruled out immediately.

Since the base of the exponent is less than 1, it is a decreasing function of x. The value of f(0) is given by the multiplier, 2, so you know point A (0, 2) is on the graph. The point D can be ruled out because it represents an increase from the y-intercept value, not a decrease.

Checking the remaining point B (1, 1), we find that

... f(1) = 2·0.5^1 = 1

so B (1, 1) is also on the graph.