Types of functions
Graphs
Function Definitions
Solving functions
100

This function is not able to have any negatives inside it.

What is a square root function?

100

This describes the act of taking the graph of a base function and modifying it so it moves around or contorts.

What is a transformation?

100

Must pass this test in order to be a function.

What is the vertical line test?

100

These describe the three main methods by which we can solve quadratic equations.

What is factoring by grouping, completing the square, and the quadratic formula?

200

This describes the point at which a function passes the line y = 0 thereby touching the x-axis.

What is an x-intercept?

200

This function describes the horizontal shift of the function y = x+3 two units to the left.

What is y = x+5

200

This describes all of the possible inputs that can be put into a function.

What is a domain?

200

This is the form of the quadratic formula.

What is 🤮 🤮 🤮 ?

300

this function is the inverse of an exponential.

What is a logarithm?

300
One describes the maximum value throughout the entire graph/function, while the other describes the maximum value over just some interval.

What is the difference between an absolute max and local max?

300

This describes a relationship where a given input maps to at most 1 output.

What is a function?

300

This describes the main steps in finding the inverse of a function

What is substituting y for f(x), swapping x and y, and solving for y?

400

This describes a piecewise function.

What is a function that is split into two or more sections described by different equations?

400

This function describes the act of vertically stretching the base function y = x2 by a factor of 2, then shifting it to the right by a factor of 5.

What is y = 2(x-5)2?

400

Describes the domain of the following function:

f(x) = 3√ (x5-2)

What are all real numbers?

400

These are the steps to factor by grouping.

What are factoring out any GCF from the original polynomial, creating two groups of terms with a + in the middle, factoring out the GCF from both groups individually, then factoring out the GCF from remaining terms