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Chapter 8: Q16. (page 410)

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

y=-x

Short Answer

Expert verified

The equation y=-x is a function.

Step by step solution

01

Step 1. Given information.

The given equation is y=-x.

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 -1 and the 颅y-intercept is at point0,0.

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

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

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

03

Step 3. Conclusion.

The given equation is a function.

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Most popular questions from this chapter

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

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Tell whether the ordered pair is a solution of the equation.

3x-5y=-1;9,5

The brown-headed cowbird does not raise its own offspring. It lays eggs in the nests of other bird species, which then hatch the eggs and raise the young. A scientist investigated whether the growth of a young cowbird is affected by the species of bird that raises it. The scientist鈥檚 results for two bird species are shown below.

  1. For each table, draw a graph for the relation given by the ordered pairs age,mass. Draw both graphs in the same coordinate plane, and use a different color for each graph.
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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?

Graph the equation.

y=x-4.
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