<h2>
Answer:</h2>
The table which shows that a function's range has exactly three elements is:
x y
3 8
4 6
5 12
6 8
<h2>
Step-by-step explanation:</h2>
<u>Domain of a function--</u>
The domain of a function is the set of all the x-values i.e. the value of the independent variable for which a function is defined.
<u>Range of a function--</u>
It is the set of all the y-value or the values which are obtained by the independent variable i.e. the values obtained by the function in it's defined domain.
a)
x y
1 4
2 4
3 4
Domain: {1,2,3}
Range: {4}
Hence, the range has a single element.
b)
x y
3 8
4 6
5 12
6 8
Domain: {3,4,5,6}
Range: {6,8,12}
Hence, the range has three element.
c)
x y
0 5
2 9
0 15
This relation is not a function.
because 0 has two images.
0 is mapped to 5 and 0 is mapped to 15.
d)
x y
1 4
3 2
5 1
3 4
This relation is not a function.
because 3 has two images.
3 is mapped to 2 in the ordered pair (3,2) and 3 is mapped to 4 in the ordered pair (3,4)
The 3 is in the tens place.
3*10=30
Final answer: The value of the 3 is 30 since it is in the tens place.
Answer:
y²=4√2.x
Step-by-step explanation:
The focus is at (0,4) and directrix is y=x or x-y =0, for a parabola P.
The distance between the focus and the directrix of the parabola P is
=
{Since the perpendicular distance of a point (x1, y1) from the straight line ax+by+c =0 is given by 
}
Let us assume that the equation of the parabola which is congruent with parabola P is y²=4ax
{Since the parabola has vertical directrix}
Hence, the distance between focus and the directrix is 2a = , {Two parabolas are congruent when the distances between their focus and the directrix are same}
⇒ a=√2
Therefore, the equation of the parabola is y²=4√2.x (Answer)
