Equations as Functions

Front

What is the definition of a function in mathematics?

Back

A function is a relation that assigns exactly one output value for each input value.

Tags

CCSS.8.F.A.1

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you find the range of a linear function given a specific domain?

Back

To find the range, substitute each value from the domain into the function and calculate the corresponding output values.

Front

What does the term 'input' refer to in the context of functions?

Back

The input refers to the value that is fed into the function, typically represented as 'x'.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does the term 'output' refer to in the context of functions?

Back

The output refers to the value that results from applying the function to the input, typically represented as 'y'.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

If y = 5x, what is the value of x when y = 15?

Back

x = 3.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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.F.A.3

CCSS.8.EE.B.6

Front

How do you determine if a relation is a function?

Back

A relation is a function if each input value corresponds to exactly one output value.

Tags

CCSS.8.F.A.1

Front

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

Back

The x-value represents the independent variable or the input of the function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

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

Back

The y-value represents the dependent variable or the output of the function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1