Answer:
Domain: [-3, 3]
Range: [-1, 5]
Step-by-step explanation:
Reminder: domain is the x values that will make the function defined, and range is the possible y values the function could get.
Keeping that in mind, you can see that the domain of this function is [-3, 3] (using interval notation) and the range is [-1, 5].
Or, you could express the domain as -3≤x≤3 and the range as -1≤y≤5.
I hope this helped.
The easiest way to find the inverse of a function is to swap the x and y, meaning:
We have the function
. Let's call our outputs "y", so we have
. To find the inverse, we're going to change the x and the y's position in the equation, so we have
. Then all we need to do is solve for y:
Answer:
Step-by-step explanation:
Range is y thing, where as domain is an x thing. The way you state a range (or a domain, for that matter) is to start from the low point on the graph and go up to the high point. Our graph doesn't have a starting point; therefore, the "low" end of the graph comes up from -∞. The high point on the graph maxes out at 3. Therefore, the proper way to state the range (depending upon whether you use set-builder or not) is
R = (-∞, 3] or another way to state this is
R = {y | y ≤ 3} which reads "y such that y is less than or equal to 3".
Answer:
288 ft³
Step-by-step explanation:
Given that
The volume of each box is 1 cubic foot
And, Hollies required 8 of these layers
Now based on the above information
We assume that the dimension of the base layer is 6 by 6
So, the volume of the container is
= Length × Width × Height
where,
Length = 6 ft
Width = 6 ft
And, Height = 8 ft
So,
= 6 ft × 6 ft × 8 ft
= 288 ft³
Answer:
a. 84 < n + (n + 2) + (n + 4) < 96
b. 26 < n < 30
Step-by-step explanation:
Let n = 1st number
n+2 2nd even number
n+4 = 3rd even number
The sum of these 3 numbers is
n+n+2+n+4
It must be between 84 and 96 (it does not include this 84 and 96)
84< n+n+2+n+4 < 96
Now we need to solve this
Combine like terms
84 < 3n +6< 96
Subtract 6 from all sides
84 -6 < 3n+6-6 < 96 -6
78 < 3n < 90
Divide all sides by 3
78/3 < 3n/3 < 90/3
26 < n< 30