Exploring Absolute Value Function Graphs

What is the domain of the function f(x) = -3|x - 1| + 9?

• x is between -4 and 5, inclusive

• x is less than -4

• x is between -5 and 4, inclusive

• x is greater than 5

What is the maximum value of the function f(x) = -3|x - 1| + 9?

• -3

• 9

• 0

• 1

At which x-value does the function f(x) = -3|x - 1| + 9 reach its maximum?

• x = 9

• x = 1

• x = -1

• x = 0

What is the vertex of the function f(x) = -3|x - 1| + 9?

• (1, 9)

• (0, 9)

• (-1, 9)

• (1, 0)

How does the function f(x) = -3|x - 1| + 9 behave to the right of the vertex?

• It remains constant

• It decreases with a slope of -3

• It increases with a slope of -3

• It increases with a slope of 3

What is the simplified form of the function f(x) = -3|x - 1| + 9 for x ≥ 1?

• -3x + 12

• 3x + 12

• -3x - 12

• 3x - 12

What is the slope of the function f(x) = -3|x - 1| + 9 to the right of the vertex?

• 1

• 0

• -3

• 3

How does the function f(x) = -3|x - 1| + 9 behave to the left of the vertex?

• It increases with a slope of 3

• It decreases with a slope of -3

• It decreases with a slope of 3

• It remains constant

What is the simplified form of the function f(x) = -3|x - 1| + 9 for x < 1?

• -3x + 6

• 3x - 6

• 3x + 6

• -3x - 6

What is the slope of the function f(x) = -3|x - 1| + 9 to the left of the vertex?

• 1

• -3

• 3

• 0