Unit 4 Functions

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

What is the domain of a function?

Back

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

Front

What does the absolute value function represent?

Back

The absolute value function represents the distance of a number from zero on the number line, regardless of direction.

Front

How does the graph of y = |x| look?

Back

The graph of y = |x| is a V-shaped graph that opens upwards, with the vertex at the origin (0,0).

Front

What effect does adding a number inside the absolute value function have?

Back

Adding a number inside the absolute value function shifts the graph horizontally. For example, y = |x - 3| shifts the graph 3 units to the right.

Front

What effect does adding a number outside the absolute value function have?

Back

Adding a number outside the absolute value function shifts the graph vertically. For example, y = |x| + 2 shifts the graph 2 units up.

Front

What is the vertex of the absolute value function y = |x - 1|?

Back

The vertex of the function y = |x - 1| is at the point (1, 0).

Front

How do you determine the shifts of the graph y = |x - 7| - 2?

Back

The graph is shifted right 7 units and down 2 units from the origin.

Front

What is the difference between open and closed intervals?

Back

An open interval (a, b) does not include the endpoints a and b, while a closed interval [a, b] includes both endpoints.

Front

What is the notation for the range [-4, 5]?

Back

The notation [-4, 5] indicates that the range includes all values from -4 to 5, including -4 and 5.