Math 101 - Exam 2 Content QUESTIONS
AND VERIFIED CORRECT ANSWERS
GRADED A+ LATEST 100%
GUARANTEED PASS
How do you find the equation of a horizontal or vertical line given several points on the line? -
CORRECT ANSWER-For vertical lines, x = c
For horizontal lines, y = c
Use two points to find the slope, then plug into the point slope formula
How do you find the linear equation when given two functions such as f(3) = -2 and f(8) = 1? -
CORRECT ANSWER-Recognize that f(3) is the x value and -2 is the y values. You can use these
two coordinate points to find the slope, then plug into the point slope formula
y-y1=m(x-x1)
parallel lines - CORRECT ANSWER-Lines that never intersect, have the same slope, but different
intercepts
perpendicular lines - CORRECT ANSWER-Lines that intersect to form right angles
The slope of one line is the negative reciprocal of the other
Mathematically, how can you tell if two lines are perpendicular? - CORRECT ANSWER-The some
of their slopes will equal -1
, initial value - CORRECT ANSWER-the starting amount or y-intercept of the graph
piecewise function - CORRECT ANSWER-function in which more than one formula is used to
define the output over different pieces of the domain
How would you graph a piecewise function with the following definitions
-x-3 if x < -3
x+3 if x>= 3 - CORRECT ANSWER-First, graph the first equation, then erase the parts of the line
were x is not <-3. Then do the same with the other function, except erase the portions of the
line where x is not >3. Put an open dot if it is < or > and a closed dot if it is <= or >=
System of linear equations - CORRECT ANSWER-two or more linear equations made up of two
or more variables such that all equations in the system are considered simultaneously.
What does a solution to a system of linear equations look like? - CORRECT ANSWER-an ordered
pair that satisfies each equation independently
2(4) + (7) = 15
AND
3(4) -(7) = 5
Consistent system - CORRECT ANSWER-A system of linear equations that has at least one
solution
Independent system - CORRECT ANSWER-a system of equations that has exactly one solution
AND VERIFIED CORRECT ANSWERS
GRADED A+ LATEST 100%
GUARANTEED PASS
How do you find the equation of a horizontal or vertical line given several points on the line? -
CORRECT ANSWER-For vertical lines, x = c
For horizontal lines, y = c
Use two points to find the slope, then plug into the point slope formula
How do you find the linear equation when given two functions such as f(3) = -2 and f(8) = 1? -
CORRECT ANSWER-Recognize that f(3) is the x value and -2 is the y values. You can use these
two coordinate points to find the slope, then plug into the point slope formula
y-y1=m(x-x1)
parallel lines - CORRECT ANSWER-Lines that never intersect, have the same slope, but different
intercepts
perpendicular lines - CORRECT ANSWER-Lines that intersect to form right angles
The slope of one line is the negative reciprocal of the other
Mathematically, how can you tell if two lines are perpendicular? - CORRECT ANSWER-The some
of their slopes will equal -1
, initial value - CORRECT ANSWER-the starting amount or y-intercept of the graph
piecewise function - CORRECT ANSWER-function in which more than one formula is used to
define the output over different pieces of the domain
How would you graph a piecewise function with the following definitions
-x-3 if x < -3
x+3 if x>= 3 - CORRECT ANSWER-First, graph the first equation, then erase the parts of the line
were x is not <-3. Then do the same with the other function, except erase the portions of the
line where x is not >3. Put an open dot if it is < or > and a closed dot if it is <= or >=
System of linear equations - CORRECT ANSWER-two or more linear equations made up of two
or more variables such that all equations in the system are considered simultaneously.
What does a solution to a system of linear equations look like? - CORRECT ANSWER-an ordered
pair that satisfies each equation independently
2(4) + (7) = 15
AND
3(4) -(7) = 5
Consistent system - CORRECT ANSWER-A system of linear equations that has at least one
solution
Independent system - CORRECT ANSWER-a system of equations that has exactly one solution
