Table of Contents

## How do you find the end behavior of an exponential function?

The end behavior of the parent function is **consistent. – if b x26gt; 1 (increasing function), the left side of the graph approaches a y-value of 0, and the right side approaches positive infinity.**

## What is the end behavior for the exponential function?

The end behavior of a graph is how our function behaves for really large and really small input values. For exponential functions, we see that our end behavior goes **to infinity as our input values get larger. The larger the base of our exponential function, the faster the growth.**

## How do you find the end behavior of a function?

The end behavior of a function f describes **the behavior of the graph of the function at the ends of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +u221e ) and to the left end of the x-axis (as x approaches u2212u221e ).**

## What are the left and right end behaviors of this exponential function?

The end behavior of the parent function is **consistent. – if b x26gt; 1 (increasing function), the left side of the graph approaches a y-value of 0, and the right side approaches positive infinity.**

## How do you find the end behavior of an equation?

To determine its end behavior, **look at the leading term of the polynomial function. Because the power of the leading term is the highest, that term will grow significantly faster than the other terms as x gets very large or very small, so its behavior will dominate the graph.**

## What determines end behavior of a function?

**The degree and the leading coefficient of a polynomial function determine the end behavior of the graph. The leading coefficient is significant compared to the other coefficients in the function for the very large or very small numbers.**

## How do you make an exponential function move left and right?

Summary: A left or right shift is what happens when we make a change to the exponent. In general, if we have the function then the graph will be moved left c units **if c is positive and right c units if c is negative. If a negative is placed in front of an exponential function, then it will be reflected over the x-axis.**

## How do you identify exponential behavior?

To determine its end behavior, **look at the leading term of the polynomial function. Because the power of the leading term is the highest, that term will grow significantly faster than the other terms as x gets very large or very small, so its behavior will dominate the graph.**

## What is the end behavior equation?

The end behavior of a function f describes **the behavior of the graph of the function at the ends of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +u221e ) and to the left end of the x-axis (as x approaches u2212u221e ).**