Answer:
Only C is a function
Step-by-step explanation:
To test whether a graph is a function you use the vertical line test.
If you can place a vertical line anywhere on the plane (in the domain of the "function" to be tested) and it intersects the curve at more than one point, the curve is not a function.
We see with A, wherever we put the vertical line it intersects twice.
With B, it intersects infinitely many times.
C is a function because wherever we put the vertical line, it only intersects once.
D is a function because it intersects twice providing we do not put it on the "tip" of the parabola.
The mathematical reasoning behind this is that a function must be well-defined, that is it must send every x-value to one specific y-value. There can be no confusion about where the function's input is going. If you look at graph B and I ask you what is f(3)? Is it 1? 2? 3? ... Who knows, it's not well-defined and so it's not a function. However if I ask you about C, whichever input value for x I give you, you can tell me to which y-value it gets mapped/sent to.
Is this question correct ?
Answer:
r=41/2
Step-by-step explanation:
You have to divide the diameter, 41, by 2 because the radius of the circle is half of the diameter. So, the answer would be 20.5
Finding the slope using two points:
The formula for slope is
In this case...
(-4, 3) and (5, 3)
^^^Plug these numbers into the formula for slope...

B. 0
^^^This is your slope
Hope this helped!
~Just a girl in love with Shawn Mendes