Domain and Range
linear equations and exponential models
Functions, Translations and Scale Changes
Inverses and Functions
100
State the domain and range of {(1,2), (0,2),(-1,0),(2,-1)}
What is D=(1,0,-1,2) and R= (2,0,-1)
100
Suppose r is a correlation coefficient for a line of best fit. Give the value of the least possible value of r^2
What is 0
100
Let f(t)=6t-2 and g(t)=t- t^2 . Evaluate if f(g(t))= -1
What is -14
100
If (p,q) is a point on the graph of a relation, what point must be on the graph of its inverse?
What is (q,p)
200
What is the domain and range of y = 2x + 1
What is D=(all real numbers) and R= (all real numbers)
200
Find the line of regression of the points (2,6),(4,6),(5,5),and (8,1).
What is y= -.88x +8.68
200
Let f(t)=6t-2 and g(t)=t- t^2 . Find the formula for the composite of f(g(t))
What is -6^2+6t-2
200
Find the equation for the inverse of f(x) = 3/x
What is y=3/x
300
What is the domain and range of y=-2x^2+1
What is D=(all real numbers) R=(all real numbers less than 1)
300
Find the correlation coefficient of the points (2,6),(4,6),(5,5),and (8,1) and describe the relationship.
What is r = -.92 and it is a strong negative relationship
300
Write the rule for the translation on a graph of moving each point 3 units down and 8 units to the right.
What is T(x,y)-->(x+8, y-3)
300
Find the equation for the inverse of f(x) = 1 /(x+6)
What is y=1/x - 6
400
Find the domain and range of y=|2x + 8|
What is D=(all real numbers) and R= (y is greater than or equal to 0).
400
Find the equation of exponential growth of the points (2,6),(4,6),(5,5),and (8,1) and what is the initial starting point or intial condition.
What is y=16.2(.73)^x and 16.2
400
Write the rule for the scale change on graph stretching horizontally by a factor of 12 and shrinking vertically by a factor of 5.
What is S(x,y)-->(12x, y/5)
400
Determine if the function is even, odd, or neither. Justify your response S(t)= 5t^2-t^4
What is even
500
What is the domain and range of y= 2/(x^2 - 4).
What is D=(all real numbers except for 2, -2) R= all real numbers
500
An initial population of 10 bacteria doubles every hour find the equation for the function.
What is y= 10(2)^x
500
Find the equation for the image of y=x^3 under the transformation of T(x,y)-->(x+7, y-3)
What is y=(x-7)^3 - 3
500
Write the vertex of the image T(x,y)-->(x-1, y +5). Is applied to the equation y=3x^2
What is (-1,5)
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