Notice how points T and Z are vertically aligned, or vertically lined up. This is where the graph fails the vertical line test.
The input x = 2 leads to the outputs y = 3 and y = 5 (which are the y coordinates of points Z and T in that order).
A function is only possible when any given input leads to <u>exactly one</u> output only. It would be like saying "the conversion function from Celsius to Fahrenheit has 0 degrees C convert to both 32 degrees F and 50 degrees F at the same time". But such a statement makes no sense and it's not useful. So this is one example of why having one output makes sense for a function.
In short, we need one output for any given input. But the input x = 2 leads to more than one output. That's why we don't have a function.
Answer:
A. Area = 5/9 sq.meters
Step-by-step explanation:
Area = (lenght × widht)
simplified
Hope this helps
Answer:
O The range of the function is all real numbers greater
than or equal to 0.
Step-by-step explanation:
The function f(x) = -square root x is shown on the graph.
Which statement is correct?
ТУ
7
6
5
3
The domain of the function is all real numbers less
than or equal to - 1
O The range of the function is all real numbers greater
than or equal to 0.
The range of the function is all real numbers less
than or equal to 0.
The domain of the function is all real numbers less
than or equal to 0.
2
55
14
-
2
-
3
4 5 6 7 X
-2
3
4
-5
Answer:
x=2 and y=36
Step-by-step explanation:
you have two equations
1) xy=72 and 2) (x+2)(y-4)=128
solve for one of the variables in equation 2), lets do y
(x+2)(y-4)=128, divide by (x+2) to both sides and add 4 to isolate variable y
therefore, y=(128/(x+2))+4
then plug in y into equation 1)
so x(our new y)=72
x( 128/(x+2) +4 )=72
distribute the x so you will get
(128/(x+2))x +4x=72
we are now solving for x, so isolate the x by subtracting 4x and multiplying by (x+2) to get
128x=(x+2)(72-4x)
multiply by distribution and combine like terms
-4x^2 -64x +144 =0
solve for x by quadratic formula, you'll get x=2 or x=-18
substitute back into equation 1), (2)(y)=72, solve for y to get 36
then you can check by substituting back into equation 2)
(2+2)(36-4)=128
(4)(32)=128, 128=128
