What's an Exponential Function?

By expanding each multiplication as just the product of 2's, we can write each product as an exponent
Exponents allow us to write multiplication using shorthand
'x' is a variable that represents how many times we repeat the multiplication!
f(x) is the notation we use to make a function that depends on the value of 'x'
'a' represents the number in front of the base
'b' is the base, the number being raised to the 'x' power

1. If we double 2 a bunch of times, we just multiply it by 2 over and over again
2. Exponents allow us to write multiplication using shorthand
3. For example, 2•2•2•2•2=2⁵
1. 'a', 'b', and 'x' are variables
2. 'a' represents the number in front of the base
3. 'b' is the base, the number being raised to the 'x' power
4. 'x' is the independent variable, and it is the exponent in this function
5. Remember that 'a' and 'b' can be any real numbers except 'a' can't be zero, and 'b' must be positive and not equal to 1!
1. 'a' represents the number in front of the base
2. 'b' is the base, the number being raised to the 'x' power
3. 'x' is the independent variable, and it is the exponent in this function
4. Expanding the exponent, we get 3 multiplied by itself an 'x' number of times
1. 'a' represents the number in front of the base
2. 'b' is the base, the number being raised to the 'x' power
3. 'x' is the independent variable, and it is the exponent in this function
4. Expanding the exponent, we get 0.75 multiplied by itself an 'x' amount of times
1. 'a', 'b', and 'x' are variables
2. 'a' represents the number in front of the base
3. 'b' is the base, the number being raised to the 'x' power
4. 'x' is the independent variable, and it is the exponent in this function
5. Expanding the exponent, we get 5 multiplied by itself an x number of times

Definition: What is an exponential function?