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Chapter 7: Q64. (page 352)

Graph the function $y = \frac{1}{2} x^{2} + x + \frac{3}{2}$ .

Short Answer

Expert verified

The graph of the function $y = \frac{1}{2} x^{2} + x + \frac{3}{2}$ is shown below.

Step by step solution

01

Step 1. Write down the given information.

The given function is $y = \frac{1}{2} x^{2} + x + \frac{3}{2}$ .

02

Step 2. Construct the graph of the given function.

The graph of the function $y = \frac{1}{2} x^{2} + x + \frac{3}{2}$ is shown below.

03

Step 3. Interpretation from the graph.

From the graph it can be interpreted that the graph does not cut x-axis at any point. Hence it will have no real solutions.

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