Question

given the functions (f(x) = 2x - 5) and (g(x)), represented in the table, which function has a greater rate of change?

\\(\

$$\begin{array}{|c|c|c|c|}\\hline x & 2 & 4 & 6 \\\\\\hline g(x) & 5 & 11 & 17 \\\\\\hline\\end{array}$$

\\)

• (f(x)) has a greater rate of change.
• the rate of change for (f(x)) is equal to the rate of change of (g(x)).
• (g(x)) has a greater rate of change.
• the rate of change of (g(x)) is undefined.

Explanation:

Determine the rate of change of \(f(x)\)

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Calculate the rate of change of \(g(x)\)

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Compare the rates of change

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Answer:

• f(x) has a greater rate of change.
• The rate of change for f(x) is equal to the rate of change of g(x).
• g(x) has a greater rate of change. (Correct answer)
• The rate of change of g(x) is undefined.