Algebra 1H Unit 10 Review - Function Features

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Tags

CCSS.8.F.A.1

Front

What does the term 'domain' refer to in a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does the term 'range' refer to in a function?

Back

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How do you find the average rate of change of a function over an interval?

Back

The average rate of change is calculated as (f(b) - f(a)) / (b - a), where [a, b] is the interval.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is the equation for the total cost of purchasing x video games if each game costs $16 and there is a $4 registration fee?

Back

c = 16x + 4

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

If the cost of each game increases by $4 and the registration fee decreases by $1, what is the new cost equation?

Back

c = 20x + 3

Front

What is the output of a function F when F(-8) = ?

Back

F(-8) = -4

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the difference between a linear function and a non-linear function?

Back

A linear function has a constant rate of change and can be represented by a straight line, while a non-linear function does not have a constant rate of change and can be represented by a curve.

Tags

CCSS.8.F.A.3

Front

What is a linear equation?

Back

A linear equation is an equation that can be written in the form 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

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