Hello!

In a function, each input has only one output. In A, three has two outputs, 4 and 5, so A is not a function.

In B, you can use something called the vertical line test to see if each x value has one y value as an output. You move an imaginary vertical line across the graph, and if it intersects with two points it is not a function. If we do this on our graph, it will not intersect two points. Therefore, B is a function.

In C, we can see that each input has one output, or there are all different inputs, so C is a function.

For D we can use that vertical line test again. It intersects both the points (-1,1) and (-1,6) so D is not a function

Our final answers are B and C.

I hope this helps!

6 0

3 years ago

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A small square of side 2x is cut from the corner of a rectangle with a width of 10 centimeters and length of 20 centimeters. Wri

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Find the area of the rectangle. You can find the area of a rectangle with the following formula:

$A = wl$

w = width, and l = length.

Plug in your width and length:

$20 * 10 = 200$

The area of the rectangle is 200 square centimeters.

The area of a square is also given by width * length. Multiply the sides together:

$2x * 2x = 4x^{2}$

The area of a square is 4x^2.

Because you're cutting away the square from the rectangle, you will subtract the area of the square from the area of the rectangle. The following equation will be your answer:

$200 - 4x^{2} cm^{2}$

6 0

3 years ago