Key features of graphs

Front

What is the domain of a graph?

Back

The domain of a graph is the set of all possible x-values (inputs) 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 y-values (outputs) that the function can produce.

Front

What does it mean if a graph has a maximum?

Back

A maximum occurs at a point where the function value is greater than or equal to all other nearby points.

Front

What does it mean if a graph has a minimum?

Back

A minimum occurs at a point where the function value is less than or equal to all other nearby points.

Front

What is the axis of symmetry in a graph?

Back

The axis of symmetry is a vertical line that divides the graph into two mirror-image halves.

Front

How do you find the vertex of a parabola?

Back

The vertex of a parabola can be found using the formula x = -b/(2a) for a quadratic equation in the form y = ax^2 + bx + c.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form y = ax^2 + bx + c.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax^2 + bx + c, where a, b, and c are constants.

Front

What is the significance of the 'a' value in a quadratic function?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and affects the width of the parabola.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, typically in the form y = mx + b, where m is the slope and b is the y-intercept.