3.4 Construct 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 is the slope of a linear function?

Back

The slope of a linear function represents the rate of change of the function. It is calculated as the change in the y-values divided by the change in the x-values.

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept represent in a linear function?

Back

The y-intercept is the value of y when x is 0. It represents the starting point of the function on the y-axis.

Tags

CCSS.HSF.LE.B.5

Front

How do you write the equation of a line in slope-intercept form?

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the initial value in a linear function?

Back

The initial value is the y-intercept of the function, indicating the starting value when the independent variable (x) is zero.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How do you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and then divide rise by run.

Tags

CCSS.8.EE.B.5

Front

What is the equation for a linear function that models a situation?

Back

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does the term 'constructing a function' mean?

Back

Constructing a function means creating a mathematical expression that accurately represents a real-world situation or relationship.

Tags

CCSS.HSF.LE.A.2

Front

How do you find the total cost in a linear cost function?

Back

Tags

CCSS.HSF.LE.B.5

Front

What is the significance of the slope in a real-world context?

Back

In a real-world context, the slope represents the rate of change, such as cost per item or speed, indicating how one quantity changes in relation to another.

Tags

CCSS.8.EE.B.5