Math 3 EOC Review Day 1

Front

What are inverse functions?

Back

Inverse functions are functions that reverse the effect of the original function. If f(x) takes an input x and produces an output y, then the inverse function f^(-1)(y) takes y and produces the original input x.

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How do you find vertical asymptotes of a rational function?

Back

Vertical asymptotes occur where the denominator of a rational function is equal to zero, provided that the numerator is not also zero at that point.

Front

What is a hole in a graph?

Back

A hole in a graph occurs at a point where both the numerator and denominator of a rational function are zero, indicating that the function is not defined at that point.

Front

What is an asymptote?

Back

An asymptote is a line that a graph approaches but never touches. There are vertical, horizontal, and oblique asymptotes.

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Back

Front

What is the relationship between a function and its inverse?

Back

The relationship is that if (a, b) is a point on the function f, then (b, a) is a point on its inverse f^(-1).

Front

How do you determine if two functions are inverses of each other?

Back

Two functions f and g are inverses if f(g(x)) = x and g(f(x)) = x for all x in the domain.

Front

What is the significance of the x-intercept in a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, indicating the value of x when the output (y) is zero.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of y when the input (x) is zero.

Front

How do you find the inverse of a function algebraically?

Back

To find the inverse, swap the x and y in the equation and solve for y.