Question

If x = 5/4, then the graph of the absolute value function will be __________________ than the line x = -3 / 2.

a. closer to the y-axis
b. closer to the x-axis
c. further from the y-axis
d. further from the x-axis

Answer 1

The graph of the absolute value function will be closer to the y-axis than the line x = -3/2 when x = 5/4, as 5/4 is greater than -3/2.

Step-by-step explanation:

If x = 5/4, then the graph of the absolute value function will be closer to the y-axis than the line x = -3 / 2. The absolute value function graph, being a V-shaped graph, will be on both sides of the y-axis. The line x = -3 / 2 is a vertical line, located to the left of the y-axis when looking at a standard coordinate plane. Since 5/4 is greater than -3/2, the absolute value graph will be closer to the y-axis than the line x = -3 / 2.