2025 Key Features of Exponential Functions

The graph has a y-intercept at (0,2)

The graph has a horizontal asymptote at

y = 0

The graph is decreasing for all real numbers

The graph has a decay rate of 200%

The graph is negative for all real numbers

The graph has a decay factor of 66.6%

The graph is decreasing for all real numbers.

As $$x\rightarrow+\infty\ ,\ y\rightarrow0$$

The graph is negative for all real numbers

The graph has a y-intercept at (0,1)

$$y=1$$

$$f\left(x\right)\ =\ 4\ \cdot\ \left(\frac{1}{2}\right)^x$$

represents the graph

The graph has an horizontal asymptote at y = 0

The graph is increasing on all real numbers

The domain is $$x\ >\ 2$$

The graph is negative for all real numbers

The graph has a horizontal asymptote at y = 2

The graph has a y-intercept at (0,2)

The graph has an x-intercept at (2,0)

The graph is increasing because it has a factor less than between 0 and 1.

$$0$$  

y = -1

Decay

All Real Numbers

None

$$\left(1,\ \infty\right)$$

$$\left(-\infty,\ \infty\right)$$

(0, 2)

$$y=1$$