day 1 Absolute Value Functions Flashcard

Front

What is the range of the function y = |x|?

Back

y > 0

Front

What is the range of the function y = |x - 5| + 7?

Back

y > 7

Front

What is the vertex of the absolute value function y = |x - 2| + 5?

Back

(2, 5)

Front

Is the vertex of the function y = |x - 5| + 7 a maximum or a minimum?

Back

Minimum

Front

What is the general form of an absolute value function?

Back

y = |x - h| + k, where (h, k) is the vertex.

Front

How do you find the vertex of an absolute value function?

Back

Set the expression inside the absolute value to zero.

Front

What does the absolute value function represent graphically?

Back

A V-shaped graph that opens upwards.

Front

What is the effect of changing the value of k in the function y = |x| + k?

Back

It shifts the graph vertically by k units.

Front

What is the effect of changing the value of h in the function y = |x - h|?

Back

It shifts the graph horizontally by h units.

Front

What is the minimum value of the function y = |x|?

Back

0, occurring at x = 0.