The entire range of independent variable values is the domain of a function.
After substituting the domain, the range of just a function is the entire set of all possible values for the dependent variable (often y).
What is domain and range?
- The collection of all x-values that can cause the function to "work" and produce actual y-values is known as the domain.
- The range is the set of y-values that are produced when all the conceivable x-values are substituted.
The entire range of independent variable values is the domain of a function.
Keep these things in mind when locating the domain:
- A fraction's denominator (bottom) cannot be 0.
- In this section, the integer following a square root symbol must be positive.
After substituting the domain, the range of just a function is the entire set of all possible values for the dependent variable (often y).
The variety of potential y-values makes up a function's range (minimum y-value to maximum y-value)
- To observe what happens, substitute several x-values into the expression for y.
- Be sure to search for the least and highest y values.
Learn more about Domain and Range here:
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Answer:
Step-by-step explanation:
The equation of the circle with center A=(a,b) and radius = r are:
When A=(3,-2) and radius=r=-5
Answer:
y = -x + 2
Step-by-step explanation:
Lines that are parallel have the same slope but different
y-intercepts.
So the slope of the parallel line is -x
We can input the x and y points given to solve for the new y-intercept
- y = -x + b
- 8 = -(-6) + b
- 8 = 6 + b
- b = 2
The new line is y = -x + 2. Since these two lines are the same, they are coinciding lines.
-Chetan K
Step-by-step explanation:
If I'm understanding what a "proof" means, some answers could be:
2 + 3 = 5
4 + 15 = 19
8 + 21 = 29
Hope this helps you! Have a good night!
Answer:
1. Identify the problem: Packaging boxes use too much material and create waste
2. What are the equations for the volume and surface area of a cube and rectangular prism?
Volume of a cube: Vcube = L x L x L = L3
Surface area of a cube: SAcube = 6 x (L x L) = 6L2
Volume of a rectangular prism: VRP = L x W x H = LWH
Surface area of a rectangular prism: SARP = 2 x (L x W) + 2 x (L x H) + 2 x (W x H) = 2(LW + LH + WH)
3. What is the difference in surface area of the packages below? (Note that they have the same volume.)
SAcube = 6L2
= 6 (20 cm)2
= 2,400 cm2
SARP = 2(LW + LH + WH) = 2 (20cm x 10cm + 20cm x 40cm + 10cm x 40cm) = 2,800 cm2
SARP – SAcube = 2,800 cm2
– 2,400cm2
= 400 cm
Step-by-step explanation:
everything in bold is the answer
Can I please get the Brainlist
