Graphing Functions

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 does the notation h(x) represent?

Back

h(x) represents the value of the function h at the input x.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the input into the function's equation.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of the function h(x) = -2x + 3?

Back

The y-intercept is 3, which is the value of h(0).

Front

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

Back

To find the x-intercept, set the function equal to zero and solve for x.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function.

Front

How do you graph a linear function?

Back

To graph a linear function, plot the y-intercept and use the slope to find another point.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.

Front

What does g(x) = 2x² - 3x + 1 represent?

Back

This represents a quadratic function, which is a polynomial of degree 2.