<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:
Yuri is not correct.
Step-by-step explanation:
Given expression is q(x) = 6x³ + 19x² - 15x - 28
If 'a' is a root of the given function, then by substituting x = a in the expression, q(a) = 0
Similarly, for x = 
,
= 
= 
= 
= 
= 
≠ 0
Therefore, Yuri is not correct. x = can not be a root of the given expression.
Answer:
height = 11.5 in
Step-by-step explanation:
The area (A) of a trapezoid is calculated using the formula
A = 
h(a + b)
where h is the height and a, b the bases
here a = 21, b = 8 and A = 166.75, hence
h(21 + 8) = 166.75
Multiply both sides by 2 to eliminate the fraction
29h = 333.5 ( divide both sides by 29 )
h = 11.5 in
Answer:subtract by 4x on each side first
Step-by-step explanation:
When you do so you'll get 5x on the left side of the equal sign and -5 on the right side. Next you would divide by 5 on both sides and this gives you x on the left side and -1 as your answer on the right side.
Answer:
b
Step-by-step explanation:
