Linear Equations, Inequalities, and Functions

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FUNCTION

Do the following points represent a function or a relation? (-1, 0) (0, 1) (1, 6) (2, 2)

FUNCTION

Do the following points represent a function or a relation? (-3, 0) (-1, 2) (0, 2) (2, 3)

RELATION

Do the following points represent a function or a relation? (-5, 3) (-5, 2) (3, 7) (3, 8)

RELATION

Do the following points represent a function or a relation? (0, 1) (0, -1) (2, 3) (-2, 3)

FUNCTION

Do the following points represent a function or a relation? (1, 2) (3, 4) (4, 5) (5, 2)

RELATION

Do the following points represent a function or a relation? (1, 3) (2, 4) (2, 5) (3, 9)

FUNCTION

Does the following mapping represent a function or a relation?

RELATION

Does the following mapping represent a function or a relation?

FUNCTION

Does the graph represent a function or a relation?

RELATION

Does the graph represent a function or a relation?

{-1, 1, 3}

Find the domain of the following: (-1, -5), (1, 2), (3, 4), (1, -7)

{-2, -1, 2, 3}

Find the domain of the following: (-2, -2), (-1, 0), (2, 6), (3, 8)

{-7, -5, 2, 4}

Find the range of the following: (-1, -5), (1, 2), (3, 4), (1, -7)

{-2, 0, 6, 8}

Find the range of the following: (-2, -2), (-1, 0), (2, 6), (3, 8)

2/3

Find the slope of the line passing through the given points: (-2, -1) and (4, 3)

undefined

Find the slope of the line passing through the given points: (1, -5) and (1, 2)

-5/2

Find the slope of the line passing through the given points: (5, -3) and (1, 7)

0

Find the slope of the line passing through the given points: (6, 2) and (-8, 2)

y-intercept

In y = mx + b what does the b stand for?

Slope

In y = mx + b what does the m stand for?

They are points on the line

In y = mx + b what does the x and y stand for?

Function

Is the relation a function? (-2, -2), (-1, 0), (2, 6), (3, 8)

Negative

Is this slope positive or negative?

Positive

Is this slope positive or negative?

solution

Tell whether the ordered pair is a solution of the inequality. -y ≤ 5x, (0, 1)

not a solution

Tell whether the ordered pair is a solution of the inequality. 3x - 4y < -8, (-2, 0)

solution

Tell whether the ordered pair is a solution of the inequality. y > -3x - 7, (-4, 6)

x < 5

What is the equation of the graph?

x > 5

What is the equation of the graph?

y < -x +5

What is the equation of the graph?

y < 2x +3

What is the equation of the graph?

y < 5

What is the equation of the graph?

y = -2 + 4x

What is the equation of the graph?

y = -4 - ½x

What is the equation of the graph?

y = -4x + 2

What is the equation of the graph?

y = 2x - 4

What is the equation of the graph?

y = ½x + 2

What is the equation of the graph?

y > -x +5

What is the equation of the graph?

y > 2x + 3

What is the equation of the graph?

y > 5

What is the equation of the graph?

y ≤ -x + 5

What is the equation of the graph?

y ≥ x

What is the equation of the graph?

− y ≤ x − 2

What is the equation of the graph?

− y ≤ − x + 2

What is the equation of the graph?

-10

What is the slope in y = 2 - 10x

-1

What is the slope of the equation y = -x - 14

0

What is the slope of this graph?

-1/3

What is the slope of this line?

-3

What is the slope of this line?

if any vertical line crosses a graph in more than one point it is not a function (one x-value has more than one y-value)

What is the vertical line test?

If each number in the domain has an arrow to only one number in the range.

When does the mapping diagram represent a function?

y = -2x - 2

Write an equation of the line that passes through the given points. (-3, 4) and (2, -6)

y = -x - 3

Write an equation of the line that passes through the given points. (-4, 1) and (3, -6)

y = -(3/4)x + 2

Write an equation of the line that passes through the given points. (-4, 5) and (12, -7)

definition of function

a relation that assigns exactly one output value for each input value

definition of relation

a set of pairs of input and output values


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