Exponential Functions Unit Part 1 Flashcards
What is a growth function?
An exponential function that “rises” as it goes to the right (f(x) increases as x increases)
What is a decay function?
An exponential function that “falls” as it goes to the right (f(x) decreases as x increases)
What is the asymptote?
A line that the graph approaches as x or y (input or output values) get really large positive or really large negative
(horizontal asymptote before any transformations: y = 0 (x-axis)
What is the parent function?
The “simplest” form of a particular type of function
What is the y-intercept?
The point where the line crosses the y-axis
What is end behavior?
How the graph behaves as x approaches positive and negative infinity
What is the domain?
All the x-values that go into a function (for all exponential functions the domain is always (negative infinity, infinity)
What is the range?
All the possible y-values that are in the graph
What are transformations of graphs?
The modification of a graph
What is a vertical translation?
A shift in a graph going either upwards or downwards
What is a horizontal translation?
A shift in a graph going either towards the left or to the right
What is a reflection?
The mirroring of a graph (the graph could either be reflected over the y-axis or x-axis)
What is a vertical stretch?
An outward stretch of a graph that happens when the function is multiplied by a positive constant that’s greater than one
(the absolute value of a is greater than 1 and the change in output is greater by some factor)
What is a vertical compression?
An inward compression of a graph that happens when the function is multiplied by a constant between 0-1
(the absolute value of a is between 0 and 1 and the change in output is smaller by some factor)
