Graphing & Writing Linear Functions

Graphing & Writing Linear Functions

Multiple Select

Which of the following relations represents a function? Select all that apply.

Multiple Select

The set of ordered pairs shown represents a function, f.

{(–5, 3), (4, 9), (3, –2), (0, 6)}

Select THREE ordered pairs that could be added to the set that would allow f to remain a function.

• (–3, –2)

• (4, 0)

• (–5, 9)

• (1, 6)

• (2, 3)

Multiple Select

Which of the following relations represents a function? Select all that apply.

Multiple Choice

Find f(x)=3

• 6

• 4.5

• 2

• 0

Multiple Choice

f(x) = -4x - 10
f( ____ ) = 10

• x = -5
• x = 5
• x = -50
• x = 30

Multiple Choice

h(a) = 3 - 2x²
Find h(-3)

• 33
• 21
• 39
• -15

Multiple Choice

If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?

• 7
• -2
• -9
• -10

Multiple Choice

If f(x) = 6x - 9, find f(4).

• (4, 1)

• (4, 33)

• (4, 15)

• (4, -7)

Multiple Choice

Find the DOMAIN

• {-5, -2, 1, 4}

• {1, -2, 4, -5}

• {-1, 0, 2, 3}

• {0, -1, 2, 3}

Multiple Choice

What is the Domain of this linear function?

• -6 ≤ x ≤ 6, real numbers

• 0 ≤ x ≤ 7, integers

• 2 ≤ x ≤ 7, real numbers

• No Solution

Multiple Choice

What is the Range?

• y ≥ 6
• y ≤ 6
• -10 ≤ y ≤ 6
• -10 ≤ x ≤ 6

Multiple Choice

What is the RANGE?

• all real numbers
• [1, ∞)
• (-∞, 1]
• none of these

Multiple Choice

Transform from standard form to slope intercept form:    2x-3y=10

• y=-2x+10
• y= 2/3x-10/3
• y=-2/3x+ 10/3
• y=2/3x+10

Multiple Choice

What is the y-intercept?

• 7
• 0
• 1
• 2

Multiple Choice

The Roaming Cell Phone Company charges $15.00 per month plus $2 per minute of airtime usage. The linear function C(x) represents the cost for x minutes of airtime usage.

C(x) = 2x +15

Solve C(x) = 23

• 4 minutes

• 3 minutes

• 2 minutes

• 5 minutes

Multiple Choice

A plumber charges $50 for a house call plus $12 per hour for labor. The linear function P(x) represents the cost of the plumber for x hours.

P(x) = 50 + 12x

Find P(4)

• $86

• $98

• $110

• $74

Multiple Choice

Which graph represents 2x + 4y = 12?

Multiple Choice

Which is the graph of y= -x + 2?

• A
• B
• C
• D

Multiple Choice

Write the equation for the line

•  y=⅗x+1
•   y=⅗x-1
•  y=(5/3)x+1
• y=(3/5)x+1

Multiple Choice

Give the x-intercept
3x + 8y = 24

• (8, 0)
• (0, 8)
• (3, 0)
• (0, 3)

Multiple Choice

Is function represented by the table linear or nonlinear?

• linear
• nonlinear

Fill in the Blank

Write an equation in point-slope form that passes through the given point and has the given slope:

(2, 7); m = -4

Multiple Choice

Given the table, what is the equation of the line in point-slope form?

• y - 12 = ½(x - 6)

• y - 4 = ½(x - 8)

• y + 2 = ½(x + 4)

• y + 6 = ½(x +12)

Multiple Choice

What is the point slope form equation through the point (4, -8) with a slope of -2?

• $y-4\ =\ -2\left(x-8\right)$

• $y+4\ =\ -2\left(x+8\right)$

• $y+8=-2\left(x-4\right)$

• $y-8=-2\left(x+4\right)$

Multiple Choice

Write the equation in slope-intercept form for the line that contains the points
(3, -5) and (5, - 1)

• y = 2x + 11
• y = 2x + 1
• y = 2x - 1
• y = 2x - 11

Multiple Choice

What is the equation of the line y + 5 = -3(x - 6) in slope intercept form?

• y = -3x - 23

• y = -3x -13

• y = -3x - 11

• y = -3x+13

Multiple Choice

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

• y - 5 = 2(x + 3)

• y + 5 = 2(x - 3)

• y - 3 = 2(x + 5)

• y + 3 = 2(x - 5)

Multiple Choice

Convert the equation of the line

y + 5 = -3(x - 6)

into slope intercept form.

• y = -3x - 23

• y = -3x - 13

• y = -3x - 11

• y = -3x + 13

Multiple Choice

Write the equation in point-slope form

of the line that passes through the point

(4, -7) and has a slope of -1/4.

• y + 7 = -1/4(x - 4)

• y - 4 = -1/4(x + 7)

• y + 7 = 4(x - 4)

• y - 7 = -1/4(x - 4)

Multiple Choice

What is the slope of this function?

• -1/4

• 1/4

• -2/8

• 2/8

Multiple Choice

Write the slope intercept form of the equation 3x - 2y = -16

• y = -3x - 8

• y = -3x + 8

• y = -3/2x - 8

• y = 3/2 x + 8

Multiple Choice

What is the equation for this graph?

• y = ⅔ x + 3

• y = -⅔ x + 3

• y = ⅔ x - 3

• y = -⅔ x - 3

Fill in the Blank

Write an expression from this table.

(Put NO spaces in your answer)

Fill in the Blank

Write an expression from this table.

(Put NO spaces in your answer)

Fill in the Blank

Write an expression from this table.

(Put NO spaces in your answer)

Fill in the Blank

Write an expression from this table.

(Put NO spaces in your answer)

Multiple Choice

Which equation best represents the relationship between x and y in the table shown?

• y=-3x-10
• y=-1/3x-10
• y=-10x+10
• y=-4x-10

Multiple Choice

Which equation represents the relation between x and y as shown in the table?

• y = 2x + 2

• y = 2x + 6

• y = 4x + 6

• y = 4x + 12

Multiple Choice

Find the slope

• -5/3
• -3/5
• 5/3
• 3/5

Multiple Choice

Write an equation for the table

• y = 6x + 4
• y = 4x - 2
• y = 4x + 2
• y = 4x + 6

Multiple Choice

Write an equation for the graph

• y = -1/2x + 2
• y = -2x + 2
• y = 1/2x - 2
• y = 2x + 2

Multiple Choice

Find the equation of the line that passes through the points:

(3, 4) and (0, -5)

• y = 3x + 5
• y = -3x + 4
• y = -3x + 4
• y = 3x - 5

Multiple Choice

Find the equation of the line that passes through the points:
(-4, -2) and (-3, 5)

• y = ¹/₇ x + 26
• y = 7x + 26
• y = -7x + 26
• y = -7x - 26

Multiple Choice

Graph

Multiple Choice

What is the equation of the line y + 5 = -3(x - 6) in slope-intercept form?

• y = -3x - 23

• y = -3x -13

• y = -3x - 11

• y = -3x+13

Multiple Choice

Write the following equation in slope-intercept form:

4x - 3y = 12

• y = -4/3x + 3

• y = -4x + 12

• y = 4/3x - 4

• y = 4/3x - 12

Fill in the Blank

Write an equation in point-slope form of the line that passes through (9, -2) and (-3, 2). Use the first point (9, -2) to write the equation.

Fill in the Blank

Write an equation in point-slope form of the graphed line. Use the right hand point.

Fill in the Blank

Write an equation in point-slope form of the graphed line. Use the right hand point.

Fill in the Blank

Write an equation in point-slope form that passes through the given point and has the given slope:

(4, -5); m=6

Multiple Choice

Given the table, what is the equation of the line in point-slope form?

• y - 12 = ½(x - 6)

• y - 4 = ½(x - 8)

• y + 2 = ½(x + 4)

• y + 6 = ½(x +12)