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Chapter 8: Q17. (page 410)

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

y=2x-3

Short Answer

Expert verified

The equation y=2x-3 is a function.

Step by step solution

01

Step 1. Given information.

The given equation is y=2x-3.

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 2 and the 颅y-intercept is at point 0,-3.

Upon graphing y=2x-3, we will get our required graph as shown below:

We can see that no vertical line will intersect the graph of equation y=2x-3 more than one place that is each x value corresponds to a specific y-value.

Therefore, the equation y=2x-3 is a function.

03

Step 3. Conclusion.

The given equation is a function.

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Most popular questions from this chapter

Graph y=-1 and x=4. Tell whether each equation is a surface.

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

y=1

Represent the relation as a graph and as a mapping diagram. Then tell whether the relation is a function. Explain your reasoning.

0,4,2,0,6,-4,-4,2,8,0

Spacecraft in 1997, the Pathfinder spacecraft landed on Mars. It contained a robotic vehicle named Sojourner that could roam up to 500 meters from the lander. The distance d (in meters) that Sojourner could travel in t hours is given byd=24t. How long would it take Sojourner to reach its maximum distance from the lander?

1. Copy and complete the table using the given equation


0

5

10

15

20

25

30


?

?

?

?

?

?

?

2. Use your completed table to graph d=24t.

3. Find the point on the graph whose d-coordinate is 500, and estimate the t-coordinate of this point. How much time would it take Sojourner to reach its maximum distance from the lander?

Write the equation in function form. Then graph the equation.

5x-2y=6
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