Identifying Functions
Pythagorean Theorem
Transformations
Volume
Surface Area
100
Each input (x-value) has exactly____ output(s) (y-value).
One
100
In a2 + b2 = c2, what does the c represent?
The hypotenuse
100
What transformation slides a figure without turning it or changing its size?
Translation
100
What is the volume formula for a cylinder?
V = Bh or V = πr2h
100
What is the formula for lateral surface area?
LA = Ph
200
Is this a function?
Yes, every input has exactly one output
200
Solve for x:
x = 10
200
What transformation flips a figure across a line?
Reflection
200
Find the volume of a cylinder with radius 3m and height 5m
≈ 141.37m3
200
In the surface area formula, what does "P" represent?
P = Perimeter of the base
300
Determine if the relation is a function:
Not a function because x = 2 has two different outputs (5 and 8).
300
Given c = 13 and b = 5 in a right triangle, find the missing leg a.
a =12
300
What transformation turns a figure around a point?
Rotation
300
Find the volume of a cone with diameter 7cm and height 4cm
≈ 51.31cm3
300
What is the surface area of a cube with side length 4cm?
96cm2
400
Using the vertical line test, does the graph represent a function?
It is not a function (fails the vertical line test).
400
Given b = 7 and c = 25 in a right triangle, find the missing leg a.
a = 24
400
What happens when a figure is dilated with a scale factor < 1?
It gets smaller/ reduces
400
A sphere has a diameter of 6 inches. What is its volume?
V ≈ 113.1in3
400
A rectangular prism has dimensions 6 cm, 4 cm, and 3 cm.
What is the total surface area?
Surface Area = 108 cm²
500
A vending machine lets you press one button, but sometimes it gives you two different snacks. Is this situation a function? Explain.
No, because one input (button) can produce more than one output (different snacks), which violates the definition of a function.
500
A triangle has side lengths 10 units, 24 units, and 26 units.
Is this a right triangle? Justify your answer.
Yes!
Since 102 + 242 = 262, the triangle is a right triangle.
500
Point (2, 3) is reflected across the x-axis. What is the new point?
(2, -3)
500
A cylindrical container has a volume of 502.66 cm³ and a radius of 4 cm.
What is the height of the cylinder? (Round to the nearest whole number)
height = 10 cm
500
A cylindrical can has a radius of 3 cm and a height of 8 cm. What is the lateral surface area?
150.8 cm2