All Flashcards
Define a function.
A relation where each input has exactly one output.
What is the domain of a function?
All possible input values.
What is the range of a function?
All possible output values.
Define an independent variable.
The input that you control or change.
Define a dependent variable.
The output that depends on the input.
What is an increasing function?
A function where output values increase as input values increase.
What is a decreasing function?
A function where output values decrease as input values increase.
Define concavity.
The direction of the curve of a graph (upward or downward).
Define a zero of a function.
Where the function's graph intersects the x-axis.
What are roots of a function?
The values of x where f(x) = 0.
Increasing function condition.
If a < b, then f(a) < f(b).
Decreasing function condition.
If a < b, then f(a) > f(b).
How to find zeros of a function?
Solve .
What does the graph of an increasing function look like?
The graph rises from left to right.
What does the graph of a decreasing function look like?
The graph falls from left to right.
What does a concave up graph look like?
It curves upward like a bowl.
What does a concave down graph look like?
It curves downward like a frown.
How can you identify zeros on a graph?
Look for points where the graph intersects the x-axis.