Chapter 1
Graphing
Domain (and Range)
Asymptotes
Miscellaneous
100
Find the equation of the line perpendicular to the line 9x +y = 76, and contains the point (9, -6)
What is x +9 y = -63 or y = -x/9 - 7
100
Describe the transformation of the graph from this formula: f(x)= -2(√x)+5
What is up five, reflect across the x axis, and vertically stretch by multiplying y values by 2.
100
Find the domain of y = (3x)/ (x^2 -4)
What is {x| x≠-2, x≠2} or (-infinity, -2) u (-2,2) u (2, infinity)
100
y = (x-1)/(x^3 +5)
What is a horizontal asymptote of y =0
100
What will the end behavior of g(x)= x(x^3 + 7x^2 -20x +5) resemble?
What is for large |x| the graph of g(x) resembles the graph of y = x^4.
200
For the equation 2x^2 + 2y^2 -12x +4y -30 = 0 find the center and the radius of the circle. Graph and find intercepts.
What is center= (3,-1), radius = 5, and intercepts = (3-2√6, 0), (3+3√6, 0), (0,-5), (0,3)
200
y = (√3x+2)
What is left 2 units and horizontally shrinking by multiplying x values by (1/2)
200
Find the domain of y = (√5x + 7)/(x-2)
What is{x|x≥-7/5, x≠2} or [-7/5, 2) u (2, infinity)
200
y= (3x^2 +4)/ (5x^2 -8)
What is horizontal asymptotes of y = 3/5
200
Is the function even, odd or neither? f(x)= 5x^3 - x
What is ODD
300
Find the x and y intercepts of the equation 25x^2 + 4y^2 =0
What is x intercepts are (3/5, 0) and (-3/5, 0). The y intercepts are (0, 3/2) and (0, -3/2)
300
y = |-x-4| + 7
What is reflect across y axis, move to the right 4 units, and move up 7 units
300
Find the domain and range of y = -x^4 + 4
What is domain of all real numbers, and the range is y≤4
300
y = (x^3 -5)/ (x+4)
What is no horizontal asymptotes
300
Form a polynomial whose zeroes and degree are given. Zeroes= -4 multiplicity of 1; 3 multiplicity of 2 degree =3
What is y = (x+4) (x-3)^2
400
Given two points, write the equation of the line (2,3) and ( -4, 5)
What is y-3 = -1/3 (x-2) (OR y = -x/3 + 11/3)
400
y = 4x -2
What is down 2 units and vertically stretched by multiplying y values by 2.
400
Find the domain of f(t)= (√t-3))/(3t- 15)
What is {x|x≥3, x≠5}
400
y = (2x^3 + 4x^2 -9)/(3-x^2)
What is Oblique asymptotes of y = -2x-4
400
Find the average rate of change of f(x) = - 3x^2 + 3 from 1 to 4.
What is - 15.
500
Find the midpoint of the line segment from (-5,5) and (3,1)
What is M= (-1,3)
500
y = (x/2)^2 +3
What is up 3 units, and horizontally stretched by multiplying x values by 2
500
Find the domain of f(x)= (x^2 +x -30)/(x^2 -x -20)
What is {x|x≠5, x≠-4}
500
y = (x^4 -16)/(2x^2 - 4x)
What is vertical asymptote of x =0 and no horizontal or oblique asymptotes
500
Solve the inequality 4x + 7 ≥ 2x -3
What is {x|x ≥ -5} or [-5, infinity)
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