Question

Which statement about the graph of y=16(0.5)x
is NOT true?



(1 point)

The graph has a horizontal asymptote of y=0.

The graph is decreasing for all values of x.

The x-intercept is (5,0).

The y-intercept is (0,16).

Answer 1

"The x-intercept is (5,0)" is NOT true.

Reason: y = 16(0.5)^x > 0 for all real x, so the graph never crosses the x-axis. For example, at x = 5, y = 16(0.5)^5 = 16/32 = 0.5, not 0.