Compare 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 the slope of a function represent?

Back

The slope of a function represents the rate of change of the function; it indicates how much the output value changes for a unit change in the input value.

Tags

CCSS.8.EE.B.5

Front

How do you find the cost of a service described by a linear function?

Back

To find the cost, substitute the number of units (e.g., texts or movies) into the function's equation and solve for y.

Tags

CCSS.HSF.LE.B.5

Front

What is the y-intercept in a linear function?

Back

The y-intercept is the value of y when x is 0; it represents the starting value of the function.

Front

How can you compare two linear functions?

Back

You can compare two linear functions by analyzing their slopes and y-intercepts to determine which function has a greater rate of change or lower cost.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Front

What does it mean if one function has a greater slope than another?

Back

If one function has a greater slope, it means that it increases at a faster rate compared to the other function.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Front

What is the formula for a linear function?

Back

The formula for a linear function is typically written as y = 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

How do you determine which service is cheaper using a linear function?

Back

To determine which service is cheaper, calculate the cost for the same number of units using both functions and compare the results.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Front

What is the significance of the x-value in a function?

Back

The x-value represents the input or independent variable in a function, which is used to calculate the corresponding output (y-value).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be graphically represented as a straight line, indicating a constant rate of change.

Tags

CCSS.8.F.A.3