Identifying Functions Trigonometry and Geometry Direct and Joint Circles and Systems Distance and Midpoint
100
A function
A type of relation that does not have repeated x values.
100
360°
This is the total amount of degrees on the outside of any polygon (Exterior angles)
100
y=kx
What is the equation of direct variation?
100
.180/π
This equation is the formula to change rads to degrees in a circle
100
d = √(x - x)ˆ 2 + (y - y)ˆ 2
What are the midpoint and distance formulas?
200
Domain
X value is also known as...?
200
Total of degrees
The equation (n-2)180 is to find what on any polygon?
200
direct
inverse
State whether each equation represents a direct, joint, or inverse variation.
a/b=1/3
p=4/q
200
(-2, 3)
The center of this equation of a circle:
(x + 2)ˆ 2 - (y - 3)ˆ 2 = 169
200
1.4
What is the distance:
d = √(1 - 0)ˆ 2 + (-3 + 4)ˆ 2
300
No
Is this a function?
Domain: -14, 1, 1
Range: 7, 8, 7
300
cotangent
The opposite of tan
300
yes
In the following chart, does one variable vary directly with the other?
m:3 4 5 6 7
n: 6 8 10 12 14
300
25
Find the radius:
(x + 4)ˆ 2 - (y - 4)ˆ 2 = 625
300
5
What is the midpoint:
M = {(6 + 4} ÷ 2, {2 + 8} ÷ 2)
400
(9,0); 27
What is the maximum value?
(0,8) (5,4) (9,0)
400
Sine
Which of the trig functions involve dividing the length of the opposite side by the length of the hypotenuse to find the missing side?
400
1/6
If m caries directly as y and m is when y is 36, find the constant variation
400
(x - 6)ˆ 2 - (y - 8)ˆ 2 = 36
What is the equation to this graph?
Center: (6, 8)
Radius: 6
400
18.6
What is the distance:
d = √(-5 - 10)ˆ 2 + (-8 - 3)ˆ 2
500
(0,0) (0,2) (2,0) (4,2); Max value at 10
Given the system of constraints, name all vertices. Then find the maximum value of the given objective function.
x≥0
y≥0
6x-2y≤12
4y≤4x+8
500
Trigonometric
The sine, cosine, and tangent functions all fall under the category of ________ functions
500
280
There are about 200 calories in 50 grams of Swiss cheese. Willie ate 70 grams of this cheese. About many calories were in the cheese that he ate if the number of calories varies directly as the weight of the cheese?
500
(x - 11)ˆ 2 + (y - 5)ˆ 2 = 133
What is the equation?
Ends of a diameter: (18, -13) & (4, -3)
500
3.2, 1.4
What is the midpoint:
M = {(1.8 + 8.2} ÷ 2, {3.9 + 1.1} ÷ 2)






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