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Natasha2012 [34]
3 years ago
13

Is It a Function?

Mathematics
1 answer:
inn [45]3 years ago
3 0
For something to be a function there can only be one x value for every y value (meaning x can’t repeat). To see if the graphs are functions you need to perform the vertical line test. This is where you scan an imaginary line across the graph and if the line passes through two points at the same time, that graph is not a function. This would mean that for the graphs, only graph B is a function. For the mapping part, if an x value has more than two lines attached to it, it’s not a function. This means that mapping A is a function because it only had one line for every x value whereas mapping B had x value 5 with two lines instead of one. For the table, it’s a function if the x value isn’t repeated. This means that table B is a function because no x value repeats whereas in table A the x value 2 repeats twice. That leaves graph A, mapping B, and table A as ‘not a function’. Hope this helped.
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Can some please help and explain your steps thanks
boyakko [2]
For A you would have to convert from that equation to the slope-intercept form of the equation. To do that, first add 2x to both sides, because you want to have x on the right side of the equation. And that's it! That gives you 4y = 2x + 8. And from that equation you can identify the slope (2) and the y-int (8)

For B, the same thing. Converting to slope-intercept form, just with an extra step. First, you would subtract 1y from both sides to move it to the left of the equal sign, since that's where it needs to be for slope-intercept form. That gives you -1y + 7 = -x. Don't worry about the negatives for now. Next, subtract 7 from both sides to get y by itself on the left (because that's how it is in slope-intercept form) which gives you -1y = -x - 7. Then, because you can't have negative variables, divide both sides by negative 1 (a negative divided by a negative equals a positive), to equal y = x + 7. (I've attached a picture showing my steps if the words are too confusing)

For C, you need to find the slope first, then use the slope to find the y-intercept. So subtract. (I've shown in the picture) that equals -8 over 4 which simplifies to -2. So -2 is the slope! Now to find the y-intercept, plug in an ordered pair from the problem (doesn't matter which one) and the slope to find the y-intercept (b). I'm just going to use (-2, 5). So plug in the y from the pair (5) and the slope (-2) and the x from the pair (-2) into the slope-intercept equation to equal 5 = -2(-2) + b. Since you don't know b (the y-intercept) leave it blank and solve like a one step equation! (steps in the picture). And there you have it, the slope is -2 and the y-int is 1!

For D, it's like C, but you dont have the chart. Use subtraction to find the slope. Change in y over change in x (which means subtract the y values and divide them by the difference in x values). So. You'd do 0 - 3 over -6 - 3 which equals -3 over -9, which simplifies to 1/3. And that's your slope! So to find the y-int just do the same thing you did in the last problem, plug in an ordered pair and the slope into the slope-intercept equation and solve as a one step equation (steps in picture). And there you have it, the slope which is 1/3, and the y-int which is 2.

6 0
3 years ago
if pentagon abcd was reflected over the axis y-axis, reflected over the x-axis, and rotated 180, where would be point A' lie
frez [133]
A reflection over the x axis coupled with another reflection over the y axis leads to a rotation of 180 degrees. 

In other words,

Start with point A. Reflect over the x axis to get point B. Reflect B over the y axis to get point C. To go from A to C, we can rotate A 180 degrees about the origin.

----------------

So this means that if we do those reflections and then do the rotation, then we end up back where we started. Wherever point A is located, the point A' will also be located at the same position with the same coordinates. 
4 0
3 years ago
URGENT PLEASE HELP ME WITH THIS MATH QUESTION Should
Radda [10]

Answer:

A composition of transformations is a combination of two or more transformations.A composition of reflections over parallel lines has the same effect as a translation (twice the distance between the parallel lines.

Step-by-step explanation:

4 0
3 years ago
What is the simplified form of 5x(2x^2)
lukranit [14]
The simplified form is 20x^2. Because you 2x*2, you get 4x. You multiply that by 5x, and then you get your answer.
8 0
3 years ago
Read 2 more answers
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iVinArrow [24]

Answer:

B) {56, 66, 95, 90, 57, 66, 69, 68, 76, 64, 51}

Step-by-step explanation:

{56, 66, 95, 90, 57, 66, 69, 68, 76, 64, 51} is the only data set that matches the maximum and minimum, upper and lower quartile, and median values.

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3 years ago
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