Question

How do you tell if a graph is an exponential function?

Answer 1

We can tell if a graph is an exponential function if it follows certain characteristics and properties as follows:

• For graph whose base is greater than 1:

1. The graph is going up, that is increasing.
2. The graph is continuous and smooth.
3. The point is traversed by the graph (0,1)
4. The domain only uses real numbers.
5. The graph has range between y>0.
6. The graph approaches negative infinity and becomes asymptotic to the x-axis.
7. As x gets closer to positive infinity, the graph grows without bound.

• When the base of the graph is between 0 and 1:

1. The graph goes down, that is decreasing.
2. As x gets closer to positive infinity, the graph becomes asymptotic to the x-axis.
3. As x gets closer to negative infinity, the graph grows without bound.

Rest all properties are same as above.

A curve that depicts an exponential function is known as an exponential graph. A curve with a horizontal asymptote and either an increasing slope or a decreasing slope called an exponential graph. i.e., it begins as a horizontal line, increases or drops gradually, and then the growth or decay accelerates.

It may or may not cut the x-axis, but it always cuts the y-axis at some point. In other words, an exponential graph always has a y-intercept while an x-intercept may or may not be present.


F(x) = ax, a>0, a1 is the simplest exponential function.

To learn more about exponential graphs:

brainly.com/question/28161043

#SPJ4