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Chapter 8: Q20. (page 410)

Graph the equation. Tell whether the equation is a function.

y=32x+1

Short Answer

Expert verified

The equation y=32x+1 is a function.

Step by step solution

01

Step 1. Given information.

The given equation is y=32x+1.

02

Step 2. Calculation.

We can see that our given equation is in slope-intercept form y=mx+b, where m represents slope of line and b represents the 颅y-intercept.

Upon looking at our given equation, we can see that the slope of our given line is 32 and the 颅y-intercept is at point 0,1.

Upon graphing y=32x+1, we will get our required graph as shown below:

We can see that no vertical line will intersect the graph of equation y=32x+1 more than one place that is each x value corresponds to a specific y-value.

Therefore, the equation y=32x+1 is a function.

03

Step 3. Conclusion.

The given equation is a function.

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