What can you say about the function graphed here Explain you
What can you say about the function graphed here. Explain your reasoning:
Is it a log or an exponential?
For an exponential,is the exponent x or -x?
What is the asymptote (is it x-asymptote or y-asymptote)?
Which directions and how many units is it shifted?
Solution
The function is an exponential because it has an horizontal asymptote (x-asymptote) and y-intercept (beyond y=10)
In this exponential the exponent is -x (negative) because the graph is decreasing
The graph presents a x-asymptote (y=3)
The exponential function is shifted in y-direction 3 units
