Equations as 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.

Tags

CCSS.8.F.A.1

Front

What does it mean for an equation to represent a function?

Back

An equation represents a function if for every input value (x), there is exactly one output value (y).

Tags

CCSS.8.F.A.1

Front

How do you evaluate a function?

Back

To evaluate a function, substitute the given input value into the equation and simplify to find the output.

Tags

CCSS.HSF.IF.A.2

Front

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

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the y-intercept of the equation y = 2x + 3?

Back

The y-intercept is 3, which is the value of y when x = 0.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you find the output of a quadratic function?

Back

Substitute the input value into the quadratic equation and simplify to find the output.

Tags

CCSS.HSF.IF.A.2

Front

What is the vertex of a parabola represented by the equation y = ax^2 + bx + c?

Back

The vertex can be found using the formula x = -b/(2a) and then substituting this x value back into the equation to find y.

Front

What is the difference between linear and quadratic functions?

Back

Linear functions have a constant rate of change and graph as straight lines, while quadratic functions have a variable rate of change and graph as parabolas.

Front

How do you determine if a relation is a function?

Back

A relation is a function if no input value corresponds to more than one output value.

Tags

CCSS.8.F.A.1

Front

What is the output of the function y = 5 - 6x when x = -5?

Back

The output is 35.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1