Unit 2 Functions Review

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the independent variable in a function?

Back

The independent variable is the variable that represents the input of a function, often denoted as x.

Front

What is the dependent variable in a function?

Back

The dependent variable is the variable that represents the output of a function, often denoted as f(x) or y.

Front

How do you find the x-intercept of a function?

Back

To find the x-intercept, set f(x) = 0 and solve for x.

Front

How do you find the y-intercept of a function?

Back

To find the y-intercept, evaluate f(0) or set x = 0 and solve for f(x).

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line and 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 slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

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.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as x increases, f(x) also increases.