Answer:
Part 1) The domain of the quadratic function is the interval (-∞,∞)
Part 2) The range is the interval (-∞,1]
Step-by-step explanation:
we have

This is a quadratic equation (vertical parabola) open downward (the leading coefficient is negative)
step 1
Find the domain
The domain of a function is the set of all possible values of x
The domain of the quadratic function is the interval
(-∞,∞)
All real numbers
step 2
Find the range
The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.
we have a vertical parabola open downward
The vertex is a maximum
Let
(h,k) the vertex of the parabola
so
The range is the interval
(-∞,k]
Find the vertex

Factor -1 the leading coefficient

Complete the square


Rewrite as perfect squares

The vertex is the point (7,1)
therefore
The range is the interval
(-∞,1]
Answer:
8.
Step-by-step explanation:
The slope =
difference in y coordinates of 2 points / difference in coordinates of corresponding x coordinates.
So taking the first 2 points:
The slope = (18-10) / 0 - (-1)
= 8/1
= 8.
This is confirmed by slope between the second and third points
slope = 26-18/ (1-0) = 8.
Answer:
14/24 And 21/36
Step-by-step explanation:
Just multiply the fractions by any number. In this case 2 and 3.
i wasn't sure on how to explain it so i just attached ur answer
Answer:
27
Step-by-step explanation:
5,7,9,11. ....
This is an arithmetic sequence.
First term = a₁ = 5
Common difference = d = second term - first term = 7 - 5 = 2
nth term = a₁ + (n-1)*d
12th term = 5 + (12 - 1) * 2
= 5 + 11*2
= 5 + 22
= 27