Question

Draw the graph of the function y -f(x) that satisfies the following properties. The function decreases and the slope increases as x increases. Select all graphs that satisfy both properties. □c. □ D.

Answer 1

To graph the function y - f(x) that satisfies the given properties, we need to find a function that decreases and has an increasing slope as x increases. Option b. y = x² satisfies these properties.

Step-by-step explanation:

To graph the function y - f(x) that satisfies the given properties, we need to find a function that decreases and has an increasing slope as x increases. Option b. y = x² satisfies these properties.

Let's plot the graph of y = x² to see if it matches the given properties:

• At x = 3, the function has a positive value (9).
• The slope of the function is positive and decreasing in magnitude with increasing x.

Thus, b. y = x² satisfies both properties.