Semester 1 Review A2 Part 1

Front

What is the correct equation for the graph that represents y > -2|x| + 4?

Back

The equation is y > -2|x| + 4.

Front

What is the equation of the absolute value function that shifts up by 4?

Back

f(x) = |x| + 4.

Front

What is the correct equation for the graph that represents y ≤ |x-4| - 1?

Back

The equation is y ≤ |x-4| - 1.

Front

What is the domain of the absolute value function?

Back

The domain is (-∞, ∞).

Front

Solve for x: |2x - 1| = 9

Back

x = 5 and x = -4.

Front

What does the absolute value function represent graphically?

Back

It represents the distance from zero on the number line.

Front

What is the vertex of the function f(x) = |x| + 4?

Back

The vertex is at the point (0, 4).

Front

How do you solve the equation |x| = a, where a > 0?

Back

x = a or x = -a.

Front

What is the effect of a negative coefficient in front of the absolute value function?

Back

It reflects the graph across the x-axis.

Front

What is the range of the function f(x) = |x| + 4?

Back

The range is [4, ∞).