Math 3 EOC Review

Front

What is the relationship between a function and its inverse?

Back

The inverse of a function reverses the input and output. If f(x) = y, then the inverse f^(-1)(y) = x.

Front

What does the graph of y = sin x look like?

Back

The graph of y = sin x is a wave that oscillates between -1 and 1, with a period of 2π.

Front

What happens to the graph of a polynomial function at a root with multiplicity 2?

Back

The graph will touch the x-axis at that root and bounce off, rather than crossing through.

Front

What is an asymptote in graphing?

Back

An asymptote is a line that a graph approaches but never touches. It can be vertical, horizontal, or oblique.

Front

What is the formula for the length of an arc in a circle?

Back

Front

What is the formula for the area of a triangle?

Back

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 y = 0.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it never assigns the same value to two different domain elements, meaning it has an inverse.

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.

Front

What is the difference between a continuous function and a discontinuous function?

Back

A continuous function has no breaks, jumps, or holes in its graph, while a discontinuous function does.