Math exam 1 with complete solutions
when to include or exclude an endpoint in an interval and inequalities - correct answer-
When INCLUDING an endpoint in an interval Affiliated with brackets
Use a dark-filled circle for the starting point
When EXCLUDING an endpoint in an interval: Affiliated with parenthesis
Use an empty-filled circle for the starting point
What is the slope of a horizontal line?
What is the slope of a vertical line?
When are two lines parallel?
When are two lines perpendicular? - correct answer-Slope of a horizontal line is always
0.
Slope of a vertical line is always undefined
Two lines are parallel when two functions have the same slope but different y -intercept.
ex. y=2x+1 and y=2x-1
Two lines are perpendicular when two functions compared have a negative reciprocal
slope
ex. y=1/2x +1 and y= -2x +2
General equation of circle: - correct answer-(x - h/)^2 + (y - k)^2 = r^2
General equation of ellipse: - correct answer-
General equation of hyperbola: - correct answer-(x-h) ^2/a^2 - (y-k)^2/b^2 = 1
equation of asymptote: b/a x or -b/a x
equation
Know the relationship between arc length and the angle subtended at the center of a
circle - correct answer-Arc length divided by the circumference equals the central angle
divided by 360
-Arc length will typically be in pi or other units. NOT typically in degrees
when to include or exclude an endpoint in an interval and inequalities - correct answer-
When INCLUDING an endpoint in an interval Affiliated with brackets
Use a dark-filled circle for the starting point
When EXCLUDING an endpoint in an interval: Affiliated with parenthesis
Use an empty-filled circle for the starting point
What is the slope of a horizontal line?
What is the slope of a vertical line?
When are two lines parallel?
When are two lines perpendicular? - correct answer-Slope of a horizontal line is always
0.
Slope of a vertical line is always undefined
Two lines are parallel when two functions have the same slope but different y -intercept.
ex. y=2x+1 and y=2x-1
Two lines are perpendicular when two functions compared have a negative reciprocal
slope
ex. y=1/2x +1 and y= -2x +2
General equation of circle: - correct answer-(x - h/)^2 + (y - k)^2 = r^2
General equation of ellipse: - correct answer-
General equation of hyperbola: - correct answer-(x-h) ^2/a^2 - (y-k)^2/b^2 = 1
equation of asymptote: b/a x or -b/a x
equation
Know the relationship between arc length and the angle subtended at the center of a
circle - correct answer-Arc length divided by the circumference equals the central angle
divided by 360
-Arc length will typically be in pi or other units. NOT typically in degrees
