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Chapter 1: Problem 63

Use a graphing utility to graph the equation. Use a standard setting. Approximate any intercepts. $$y=\sqrt[3]{x}+2$$

Short Answer

Expert verified
The approximate intercepts for the graph of the function \(y=\sqrt[3]{x}+2\) will depend on the granularity of the graphing utility. However, the x-intercept is roughly -8 and the y-intercept is approximately 2.

Step by step solution

01

Input Function into Graphing Utility

Begin by inputting the function \(y=\sqrt[3]{x}+2\), into the graphing utility. It's crucial to ensure this function is correctly entered to obtain the right graph.
02

Observe Graph with Standard Setting

Plot the graph using a standard setting, usually -10 to 10 for both x and y-axes. Look at the shape and overall characteristics of the function graph.
03

Approximate the Intercepts

The intercepts are the x and y values where the graph crosses the respective axis. In particular, note the X-intercept, where the output (y) is zero, and Y-intercept, where the input (x) is zero. Observe the graph carefully to determine these points.

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