Question

Calculate the value of the ratio ∆f(x)/∆x over the given intervals: i. From x = 0 to x = 1.5 ii. From x = 1.5 to x = 3 iii. From x = 3 to x = 5 a) This is not a multiple-choice question.

Answer 1

Without the specific function f(x), it's not possible to calculate the ratio Δf(x)/Δx over the given intervals.

Step-by-step explanation:

The question asks to calculate the value of the ratio Δf(x)/Δx over different intervals. From the provided information, no function f(x) is specified, therefore it's not possible to calculate the exact values of Δf(x)/Δx.

However, if we were given a specific function or additional context, we could find the average rate of change of the function over each interval by subtracting the function values at the endpoint and dividing by the change in x. For example, if f(x) = x², then for the interval from x = 0 to x = 1.5, Δf(x)/Δx would be calculated as (f(1.5) - f(0)) / (1.5 - 0). But without the function f(x), this calculation cannot be completed.