Try the fastest way to create flashcards
Question

# Explain whether the given equation defines an exponential function. Give reasons for your answers. Write the base for each exponential function. $y = x ^ { x }$

Solution

Verified
Step 1
1 of 2

$\text{A function $f$ of the form}$

$\boxed{f\left(x\right)=a^x, \ a>0, \ a\neq1}$

$\text{is called an \textbf{exponential function with base a and exponent x}.}$

$\text{Its domain is \left(-\infty, \ \infty\right).}$

$\text{function y=x^x is not a form y=a^x and then it is \textbf{not an exponential function}.}$

## Recommended textbook solutions #### Precalculus

2nd EditionISBN: 9780076602186Carter, Cuevas, Day, Malloy
8,886 solutions #### Nelson Functions 11

1st EditionISBN: 9780176332037Chris Kirkpatrick, Marian Small
1,275 solutions #### Precalculus: A Right Triangle Approach

3rd EditionISBN: 9780321912763 (2 more)J. S. Ratti, Marcus S. McWaters
5,672 solutions #### Precalculus with Limits

3rd EditionISBN: 9781133962885 (3 more)Larson
11,068 solutions