Attributes
To be an exponential function, an equation must have a variable as the _____ of some known base.
What is an exponent?
If you raise anything to this power, it will equal 1.
What is the power of zero?
What is "base"?
This transformation is caused by having "-a" regardless of what its numerical value is.
What is a reflection over the x axis?
For an exponential decay function, the y values change ____ less as the x values increase (i.e. as you read the graph left to right).
What is "less"?
The _____ of an exponential function is "all real numbers" unless otherwise stated.
What is domain?
According to the product rule, if I multiply two things that have the same base, I would _____ the exponents.
What is add?
If 7^x=7^4, then x is ____.
What is 4?
What is vertical?
Exponential growth functions have bases with absolute values that are greater than ____.
What is 1?
Exponential functions (that we study) have exactly one of these values that the function will approach but never cross or touch.
What is an asymptote?
To get rid of a negative in an exponent, I need to _____.
If 64=4^(x-3), then x is ____.
What is 6?
This is the transformation made to the function y=10^(x-3).
What is a horizontal shift right 3 units?
The function f(x)=-1/2^x+2 is an example of an exponential _____ function.
What is decay?
The function y=10^x is an example of this type of exponential function.
What is a growth function?
What is 2x^2?
If 36^x = 6^3x, then x is ____.
What is 0?
These are the transformations made to the function f(x)=-(2^x)-7.
What are "a negative reflection and vertical shift down 7?"
I owe a credit card company that has 10% interest (compounded monthly), but after 3 years of not paying the debt, I now owe $3,091.27.
What is growth?
The range of the function y=-(2^x)+3 is _____.
What is (-inf, 3)?
The seventh root of x^3 can be rewritten as _____.
What is x^(3/7)?
If 2^(3x-1)=2^(5x+7), then x is ____.
What is -4?
This is the function of an exponential function that has been shifted left 5 units and up 4 from the parent function with a base of 10.
What is y=10^(x+5)+4?
An example of exponential decay would be _____.
Give me an example.