Question

Write a function to represent the scenario.

a. f(x) = 50 for x ≤ 20, f(x) = 60 for 20 < x ≤ 30, f(x) = 70 + 2(x - 30) for x > 30
b. f(x) = 70 + 2x for x > 30
c. f(x) = 50 + 10(x - 20)
d. f(x) = 60 for x ≤ 20, f(x) = 70 for 20 < x ≤ 30, f(x) = 70 + 2(x - 30) for x > 30

Answer 1

The function f(x) can be represented using different conditions and equations. The graph of the function will have different segments depending on the value of x. The function can be plotted by connecting the points based on the given conditions.

Step-by-step explanation:

The function f(x) can be represented as follows:

• For x ≤ 20, f(x) = 50
• For 20 < x ≤ 30, f(x) = 60
• For x > 30, f(x) = 70 + 2(x - 30)

To graph the function, we can plot the points and connect them with straight lines. For x ≤ 20, the graph will be a horizontal line at y = 50. For 20 < x ≤ 30, the graph will be a horizontal line at y = 60. For x > 30, the graph will be a linear function with a slope of 2 and a y-intercept of 70.