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Functions
Absolute Value (one general question)
Graphs and Variations
Formula
Solving the Problems
100
It's the same as the y intercept.
What is f(x)
100
-|-11|
What is -11
100
A straight line graph
What is Direct Variation?
100
Direct Variation Formula (Bonus 50 - Tell what each variable represents)
What is f(x) = kx
100
(This is kind of the reverse) Determine if the relationship shows a direct linear variation. If so, state the constant of variation (remember, x values are always first in a set): (3,6) (6,12) (9,18) (12,24) (15,30)
What is the constant of variation ='s 2.
200
A relation that doesn't repeat any of it's y values
What is a function?
200
Constant of Variation
What is K?
200
Has a Parabola graph (Bonus 50 points - What shape is a Parabola?)
What is Quadratic Variation?
200
Formula for Quadratic Variation
What is y = kx²
200
(This is kind of the reverse) Determine if the relationship shows a direct linear variation. If so, state the constant of variation (remember, x values always come first in numeral sets): (1,4) (3,10) (5,16) (7,22) (9,28)
What is there is not a constant of variation?
300
A test that determines whether a graph is a function.
What is a Vertical Line Test?
300
Evaluate each function for the given values: h(x)= -|2 − x| [Give values: a. h (-3), b. h (4)]
What is A. equals h(-3) = -5? And, what is B. equals h(4)= -2?
300
Has a Hyperbola shaped graph
What is Rational/Inverse Variation?
300
Formula for Inverse Variation
What is Y=K/X
300
y varies directly with x and y= 4 when x=12 (Graph it)
SEE THE WHITEBOARD FOR GRAPH
400
Even Functions
What is a function that has symmetry across the y-axis?
400
Evaluate each function for the given values: z(t)=|17− 3t| [Give values: a. z (-4), b. z (6)]
What is A. equals z(-4) = 29? And, what is B. equals z(6)= 1
400
Has a V shaped graph (Bonus 100 points - Explain Translations)
What is absolute value graph?
400
Formula to find K using Inverse Variation
What is k = F(x) * x
400
(This is kind of the reverse) If f(x) varies directly with x², and f(x)= 18 when x= 6, find the value of f(8) (Remember to use the K formula to find K and plug in your know values)
What is f(8)= 32. Or when x= 8, f(x)= 32
500
Odd Functions
What is a function that has rotational symmetry with respect to the origin (0,0)?
500
(This is kind of the reverse) f(x)=|x+1| (FIND THE X and Y Values) (Bonus, can u graph this?)
What is finding y values (see ur T-Chart and graph)
500
Regular Slope Formula
What is y = mx + b
500
Formula to find k using Quadratic Variation
What is k = f (x)/x²
500
This is kind of the reverse ¹The cost of grapes varies directly with the weight. If 3.5 pounds of grapes cost $4.55, write the direct linear variation equation. ² Then determine the number of pounds of grapes that can be purchased for $10.14, before tax.
¹ What is k = 1.3 ² What is 7.8 pounds of grapes can be purchased for $10.14, before tax?