<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)
Answer:
yes
Step-by-step explanation:
Circumference=2πr
2π=2πr
r=1
area=πr^2
area=π(1)^2
area=π
Answer:
Part (a)
36
Part (b)
Find the filled table in the attachment
Part (c)
1/36
Step-by-step explanation:
The total number of possible outcomes using the multiplicative rule is given by;
6*6 = 36.
There are 6 possible outcomes in rolling each die, we simply find the product.
The probability of rolling double sixes is given by;
pr(6 and 6) = pr(6) * pr(6) = 1/6 * 1/6 = 1/36
The probability of rolling double sixes represents independent events and thus we employ the multiplicative rule of probability.
Answer: M = 2
Step-by-step explanation:
Given equation: m+3=5
You need to isolate m so you can find its value. Subtract 3 from the left side, and do the same to the right side. Subtracting 3 from 5 as well makes the number become 2 on the right side of the equation. Therefore, m=2.
A rule you should always remember is when you have a value on each side of the equal sign, whatever form of addition, subtraction, multiplication, or division should be done to the other side as well.
