Relations & Functions
True or False: The following relation represents a function.
{ (1,0), (2, -1), (3, 0), (1, 4)}
What is False.
If f(x)=2x-4, evaluate f(-1).
What is -6?
Identify the slope and y-intercept of the following equation:
y = - (1/2)x - 4
What is slope = - (1/2) and y-intercept = (0, -4)?
Given the following equation, identify the slope and point that is on that line.
y - 2 = -3(x - 1)
What is slope = -3 and the point is (1, 2)?
True or False: Perpendicular lines have reciprocal slopes.
What is False?
True or False:
A function is a relationship where every output has exactly one input.
What is False.
If g(x)= - x^2 + 3x, evaluate g(2).
What is 2?
Write the following equation in slope-intercept form:
2x - 4y = 6
What is y = (1/2)x - (3/2)?
Given the following equation, identify the slope and point that is on that line.
y + 2 = - (x - 1)
What is slope = -1 and the point is (1, -2)?
y = -2x + 4
y = 1/2x - 2
What is perpendicular?
This is used to help determine whether a graph is a function or not.
What is The Vertical Line Test?
If f(x) = x + 10 and g(x) = (1/2)x - 2...
Evaluate (f + g)(4).
What is 14?
Given a slope of -2 and a point (4, 1), write the equation of the line in slope-intercept form.
What is y = -2x + 9?
Given a slope of -2 and the point (-4, 5), write the equation of the line in point-slope form.
What is y - 5 = -2 (x + 4)?
Identify the following pair of lines as parallel, perpendicular, coinciding, or neither.
2x - y = 4
3y = 6x - 12
What is coinciding?
Fill in the blank with "Always", "Sometimes", or "Never".
A function is _______________ a relation.
What is "Always"?
If j(x) = 2x - 5 and k(x) = x + 1...
Evaluate j(k(x)).
What is 2x-3?
Given points (2, 4) and (-3, 5), write the equation of the line in slope-intercept form.
What is y = - (1/5)x - 2?
Given the points (10, -2) and ( 5, -2), write the equation of the line in point-slope form.
What is y=0?
Write the equation for a line parallel to the line x = 4 that goes through the point ( -2, 1).
What is x = - 2?
Ways to display a function include a set of points, a table, a graph, and what other display?
What is a Mapping Diagram?
If f(x) = 2x, g(x) = 3x - 1, and h(x) = x^2...
Evaluate g(h(f(-3))).
What is 107?
Write the equation of the line in slope-intercept form that is perpendicular to the line 2y = 3x + 6 and passes through the point (3, 1).
What is y = - 2/3x + 3?
Given the points (4, 2) and (12, -3), write the equation of the line in point-slope form.
What is y - 2 = - 5/8x (x - 4) OR
y + 3 = - 5/8x (x - 12)?
Write the equation of the line that is perpendicular to the line 3x - 2y = 12 and goes through the point (2, 0).
(You may use either form).
What is y - 0 = -2/3x (x - 2) OR
y = -2/3x + 4/3?