The relation you have shown is not a function.
In order to be a function, a relation's domain must be continuous in that no x-value is not repeated in any of the points. Since the first two points of the relation are (5,1) and (5,3), you can see that they have the same x-value, meaning that this is not a function.
One quick way you could test this is to quickly sketch a graph and use the vertical line test to see if the relation in question is a function. If it cross the vertical line once in all places, it is a function - if it crosses the vertical line more than once in any place, it is not a function.
<u>T</u><u>h</u><u>e</u><u> </u><u>s</u><u>t</u><u>a</u><u>t</u><u>e</u><u>m</u><u>e</u><u>n</u><u>t</u><u>s</u><u> </u><u>t</u><u>r</u><u>u</u><u>e</u><u> </u><u>f</u><u>o</u><u>r</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>g</u><u>i</u><u>v</u><u>e</u><u>n</u><u> </u><u>f</u><u>u</u><u>n</u><u>c</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>a</u><u>r</u><u>e</u><u>:</u>
I tried them all and these two were correct, their solutions are as follows:
= f(x) = 1/2x + 3/2
= f(0) = 1/2 × 0 + 3/2
= f(0) = 0 + 3/2
= f(0) = 3/2
= f(x) = 1/2x + 3/2
= f(4) = 1/2 × 4 + 3/2
= f(4) = 2 + 3/2
= f(4) = 4+3/2
= f(4) = 7/2
So, that's how these two are correct.
Answer:
953.78 in^3 of grain.
Step-by-step explanation:
The volume of a cylinder = π r^2 h.
For this cylinder r = radius of the base = 9/2
= 4.5 in and the height h = 15 in
So the volume is 3.14 * 4.5^2 * 15
= 953.78 in^3.
The answer: x is equal to 50