Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one corresponding y-value.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph. This means that you can draw the graph without lifting your pencil.

Front

What is an absolute maximum of a function?

Back

The absolute maximum of a function is the highest point over the entire domain of the function. It is the largest value that the function can take.

Front

What is an absolute minimum of a function?

Back

The absolute minimum of a function is the lowest point over the entire domain of the function. It is the smallest value that the function can take.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is a y-intercept?

Back

The y-intercept is the point where the graph of a function crosses the y-axis. It occurs when x = 0.

Front

What is an x-intercept?

Back

The x-intercept is the point where the graph of a function crosses the x-axis. It occurs when y = 0.