Graphing Properties

Domain, Range, Asymptote, Undefined

22. Let a be positive and b be negative. If it can be determined, in which quadrant of the standard (x,y) coordinate plane is the point (−a,b2) located?

2021 June(D06) Math Question 22

23. Given that the function f defined as f(x) = 5 - 3x has
domain { -1, 0,. 2}, what is the range off?

2019 June(B02) Math Question 23

23. Given y = x /(x-1) and x > 1, which of the following is apossible value of y ?

Domain and Range

2021 April(Z04) Math Question 23

27. The entire graph of the relation R of the ordered pairs (x,y) is shown in the standard (x,y) coordinate plane below. One of the following sets is the domain of the relation R. Which set is it?

2016 April(73E) Math Question 27

30. The equation y = :2+-34 is graphed in the standard (x,y) coordinate plane below. No point on the graph has which of the following x-coordinates?

2013 June(71C) Math Question 30

33. A function is defined by g(a) = —2a +7, and its domain is the set of integers from 1 through 30. inclusive. For how many values of a is g(a) negative?

2015 December(72E) Math Question 33

2013 December(71E) Math Question 34

36. Consider the graph of the equation y = 3x in the 2x — 6 standard (x,y) coordinate plane. Which of the following equations represents the vertical asymptote of the graph?

2018 June(A11) Math Question 36

2018 December(B05) Math Question 38

2010 June(68C) Math Question 43

47. The domain of f(x) = 2/(x^3-9x) is the set of all real numbers EXCEPT:

2015 April(73G) Math Question 47

48. The expression 2b + c b — 2c is undefined whenever b = ?

2018 April(A09) Math Question 48

2019 June(72F) Math Question 49

49. In the standard (x,y) coordinate plane, for what value(s) of x, if any, is there NO value of y such that (x,y) is on the graph of y = (x - 3)/(x + 3)(x + 2)(x - 2)?

2016 April(73E) Math Question 49

50. The graph of f(x) 2 X- 3 is shown below. What is

2017 June(74C) Math Question 50

2013 April(71G) Math Question 50

2020 June(C02) Math Question 51

52. At what point in the standard (x,y) coordinate plane do

2016 December(74H) Math Question 52

2012 April(70G) Math Question 54

2011 April(67F) Math Question 56

2010 June(68C) Math Question 57

58. The entire graph of y =f(x) is shown in the standard (x,y) coordinate plane below. One of the following sets is the domain off. Which set?

2013 June(71C) Math Question 58

59. Which of the following linear equations gives the vertical asymptote for the graph of y = 201x+ 202 / 203x + 204 in the standard (x,y) coordinate plane?

2015 June(73C) Math Question 59

60. The equation y = (2x^2-18)/(X^2— 5x) has 2 vertical asymptotes and 1 horizontal asymptote. What is the horizontal asymptote?

Domain, Range, Asymptote, UndefinedGraphing PropertiesACT math questions

2021 June(D06) Math Question 22

2019 June(B02) Math Question 23