Is the following relation a function? (1 point) graph of x equals y squared, which results in a horizontal parabola centered on the x axis, going through the origin, and opening to the right yes no

No, the given relation is not a function.

Step-by-step explanation:

A relation is a function if there exist a unique output for each input.

The given relation is

It is a horizontal parabola centered on the x axis, going through the origin, and opening to the right.

Taking square root on both sides.

Here for each value of x, there exist more than one value of y. Therefore the given relation is not a function.

If a vertical line intersect the parabola more than once, then the relation is not a function.

From the below graph it is clear that the graph dose not pass the vertical line test. So, the given relation is not a function.

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.