Consider the following properties of the graph of an exponential function. a. horizontal asymptote at x=-2 b. the graph is increasing from (-infinity, infinity) c. the x-intercept is at (1,0) what is the equation for this graph?

The parent exponential function is:



The Horizontal asymptote of parent exponential function is y =0. For the function to have asymptote y=-2, it must be shifted 2 units down. So resulting graph will be:



The function is increasing from left to right.

The above function does not have x-intercept at (1,0). For the function to have an x-intercept at (1,) it must be multiplied with some co-efficient as shown below:



For x=1, y=0. So we can write:



So, the exponential function satisfying the given conditions will be:

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