A function is defined as f(x) =xk , with k > 0 and x ≥ 0.(a) Sketch the graph of y = f(x)

Question

A function is defined as f(x) =xk , with k > 0 and x ≥ 0.(a) Sketch the graph of y = f(x)
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Solution 1

To sketch the graph of y = f(x) = x^k, you need to follow these steps:

  1. Identify the domain and range: Since x ≥ 0 and k > 0, the domain of the function is [0, ∞) and the range is also [0, ∞).

  2. Identify the intercepts: The y-intercept is at (0,0) because f(0) = 0^k = 0. The x-intercept is also Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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