Function and Graph Analysis Flashcard

Front

What is the average rate of change?

Back

The average rate of change of a function over an interval is the change in the function's value divided by the change in the input value over that interval.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

If a function has a constant rate of change, what does that imply about its graph?

Back

The graph of the function is a straight line.

Tags

CCSS.HSF-LE.A.1B

Front

What is the range of a linear function like g(x) = 4x - 5?

Back

The range is all real numbers, as linear functions can take any value.

Front

How do you find f(-1) for a given function f(x)?

Back

Substitute -1 into the function in place of x and simplify.

Tags

CCSS.HSF.IF.A.2

Front

Back

Tags

CCSS.HSF.IF.A.2

Front

What does it mean for a function to be undefined at a certain point?

Back

It means that the function does not have a value at that point, often due to division by zero.

Front

Back

Tags

CCSS.HSF.IF.A.2

Front

What is a function?

Back

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

Tags

CCSS.8.F.A.1

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for the function.

Front

What is the difference between the domain and range of a function?

Back

The domain is the set of input values, while the range is the set of output values.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1