Graph each line. Give the domain and range. -x + 5 = 0

Question

Accepted Answer

Hello everybody. I have everything right today. Today, we're gonna be looking at this math question that's telling us to plot the given line on a rectangular coordinate system and also find the domain and range where the equation for the line is negative X plus equal to zero. Now the answer choices that they give us are a, a vertical line passing through the 0.13 comma zero with an equation of X equal 13 with a domain of 13 and a range of negative infinity common positive infinity B uh vertical nine, once again passing through the point negative 13 comma zero. And an equation of X equals negative 13 with a domain of negative 13. And the same range as AC is a horizontal line passing through the 130.0 comma 13 with an equation of Y equals with a domain of negative infinity comma positive infinity. And a range of 13 and D is a horizontal line passing through the 0.0 comma negative 13. And an equation of Y equals negative 13 with the same domain as C and a range of negative 13. Now, the first thing we wanna do with our equation is simply solve for X just to have an equation for our line. So the first thing we wanna do is move that 13 over from the left hand side to the right hand side. So we'll have negative X is equal to negative 13. And now to have a positive X, we see that we have a negative on both sides. So we just multiply it by a negative one. So we can have X is equal to 13. And that would be the equation for our line which matches up with answer choice. A. But before we can confirm that, let's just test for the domain. And the range, we know if our graph is X equal to 13, that's gonna be a vertical line because the X cannot change X will always be equal to 13. If we have a horizontal line that X value is gonna change. So we need a vertical line. So right away, we can eliminate choice C and D without knowing the domain in the range. Now, the domain is associated with posi possible values for X for a graph. So domain is associated with the X, what Xes apply and fit to our graph. Well, because our graph is X equal to 13, the only X that we can have in our graph is 13. So the domain for a graph is gonna be 13. And that checks out with answer choice A but does not check out with answer choice B which is negative 13. No, let's just test for the range to do one final confirmation. The range on the other hand has to do with possible values for Y, just the, the domain has to do with X and the range has to do with Y. In this case, our graph is a vertical line and imagining this is an an infinite vertical line because it's always gonna be A X equals 13. It moves infinitely up and infinitely down on that points of 13. So the domain is gonna be from negative infinity to positive infinity infinitely up and down on that Y any value on, on that point, any Y value on the point of X equal 13 will be able to fit in our graph which fits with letter A once again and confirms that that will be the answer to our question. So I hope that was helpful. And until next time.

Graph each line. Give the domain and range. -x + 5 = 0

Key Concepts

Linear Equations

Domain and Range

Graphing Lines

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