Evaluate Functions Graphs

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.

Tags

CCSS.8.F.A.1

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to find the output value of the function for a given input value.

Tags

CCSS.HSF.IF.A.2

Front

How do you find the value of f(x) for a specific x?

Back

Substitute the specific value of x into the function's equation and simplify to find f(x).

Tags

CCSS.HSF.IF.A.2

Front

What is the significance of the x-intercept of a function?

Back

The x-intercept is the point where the graph of the function crosses the x-axis, indicating where f(x) = 0.

Tags

CCSS.HSF-IF.C.7D

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, indicating the value of f(0).

Front

How can you determine if a function is increasing or decreasing?

Back

A function is increasing if the output values rise as the input values increase, and decreasing if the output values fall as the input values increase.

Front

What does it mean for a function to be linear?

Back

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

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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).

Tags

CCSS.8.EE.B.5

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

How do you find the maximum or minimum value of a quadratic function?

Back

The maximum or minimum value of a quadratic function can be found at the vertex, which can be calculated using the formula x = -b/(2a).