Which graph has the following properties?

The y-intercept is at (0,22).
The horizontal asymptote is at y=5.
The graph is decreasing for all values of x.

1 answer

The graph is an example of a decreasing exponential function. Specifically, it is a horizontal shift downward of the function y = 5^x.

The graph starts at the y-intercept (0, 22), which means when x = 0, y = 22.

The horizontal asymptote is at y = 5, which means as x approaches negative or positive infinity, the y-values get closer and closer to 5 but never reach it.

The graph that fits these properties is shown below:
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