Functions
Volume
Vocabulary
Pythagorean Theorem
Transformation
100
In order for a relation to be a function, the _____ can not repeat; this means that each input has exactly one output.
What are the "x-values" or domain?
100
What is volume?
The amount of space that a substance or object occupies.
100
What is the hypotenuse?
The longest leg of a triangle, 'c'.
100
The legs are 6 and 8
Wha is 10?
100
How many transformations are there? What are they?
4 Transformation
- Rotation
- Reflection
- Translation
- Dilation
200
Describe whether or not the relation below is a function:
{(3, 2), (-3, 2), (5, 2), (-5, 2)}
This is a function because the x-values/domain does not repeat.
200
A cylindrical well has a radius of 10 feet and a height of 15 feet. What volume of water will it take to fill in the well?
Volume = 4,710 cubic feet
200
What are corresponding angles?
Angles that are in the same relative position on two different triangles.
200
What is Pythagorean Theorem? Explain how it works.
a^2 + b^2 = c^2
A and B are the legs
C is the hypotenuse
200
Find the new coordinates of (3,-2) after you reflect the point over the x-axis.
What is (-3,-2)?
300
This is used to determine whether or not a graph is a function.
What is the vertical line test?
300
What is the formula for finding the volume of a prism?
Volume of a Prism = B*h
300
What is the difference between congruence and similarity?
Congruence means exactly the same. Same shape and size. Similarity is when the shapes are not exactly the same. They are similar on the same ratio but not identical.
300
Is triangle with sides 5, 12, and 13 a right triangle?
What is Yes?
300
Describe the translation for this notation: (x,y) --> (x + 8, y + 4)
What is a translation of 8 units to the right and 4 units up?
400
Is it a function?
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What is YES because it passes the Vertical Line Test?
400
Many villages have water tanks that they use for farming. Jeff’s village has a cylinder shaped water tank that has a 4 m radius and a 9 m height. Find the volume of the cylinder.
Volume of Cylinder = 452.16 cubic meters.
400
Label the parts of y=mx+b
y= y-value
m= slope
x= x-value
b = y-intercept
400
What is the hypotenuse of a triangle with sides 156, 60, and 144?
What is 156?
400
Find the new coordinates of (5,4) after you rotate the point with 180º.
What is (4,5)?
500
Which ordered pair represents a point that would lie on the graph of the linear function y = 2x - 4? Explain how you know.
(2, 4) (6, 8) (-2, 0) or (5, 1)
What is (6, 8) because if you plug in 6 for x into the linear function, the correct output is 8.
500
Find the volume of a sphere whose r is 20 inches?
Volume of a sphere = 33,493 cubic inches.
500
Triangle with hypotenuse 20 and leg 16
What is 12?
500
Graph ∆LMN after a translation of 6 units to the right and 4 units down.
L(0,3)
M(6,4)
N(3,9)
What is L'(6,-1), M'(12,0), N'(9,5)?