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Functions and Linear Equations: Identifying Tables, Graphs, and Equations, Lecture notes of Linear Algebra

Various questions related to functions and linear equations. Students are asked to identify the table that best represents the graph of a linear equation, determine which ordered pair can be added to a table to maintain the function property, identify the graph that shows y as a function of x, determine which table does not represent a function, compare the rates of change of different linear functions, and identify the function that has a greater rate of change. The document also includes questions on interpreting the slope of an equation and determining the equation of a line that fits given data.

What you will learn

  • Which graph shows y as a function of x?
  • Which of the following tables best represents the graph of the linear equation?
  • Which function has a greater rate of change?
  • Which table DOES NOT represent a function?
  • Which function listed below represents a greater rate of change, and what is the slope of the function?
  • Which ordered pair (x, y) can be added to the table so that y is still a function of x?

Typology: Lecture notes

2021/2022

Uploaded on 09/12/2022

wilbur
wilbur 🇺🇸

212 documents

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Functions
Read each question carefully.
Which of the following tables best represents the graph of the linear
equation?
A)
C)
B)
D)
1)
Table 1
Table 2
Table 3
Table 4
1
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pf4
pf5
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pf9
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pf12
pf13
pf14
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Partial preview of the text

Download Functions and Linear Equations: Identifying Tables, Graphs, and Equations and more Lecture notes Linear Algebra in PDF only on Docsity!

Read each question carefully. Which of the following tables best represents the graph of the linear equation? A) C) B) D)

Table 1 Table 2 Table 3 Table 4

Which ordered pair ( x , y ) can be added to the table so that y is still a function of x? A) C) B) D)

(1, 1) (14, 7) (17, 8) (-5, 1)

Which graph shows y as a function of x? A) C) B) D)

Figure 1 Figure 2 Figure 3 Figure 4

Which table DOES NOT represent a function? A) C) B) D)

Which table DOES NOT represent a function? A) C) B) D)

Which linear function listed below represents a greater rate of change, and what is the slope of the function? A) C) B) D)

Which function has a greater rate of change? A) C) B) D)

The rate of change is the same for both functions. Function 1 has a greater rate of change. Function 2 has a greater rate of change. There is not enough information to determine which function has a greater rate of change.

Which linear function listed below represents a greater rate of change, and what is the slope of the function? A) C) B) D)

Function 1 has the greater rate of change; the slope is 3. Function 1 has the greater rate of change; the slope is 4. Function 2 has the greater rate of change; the slope is 5. Both functions have equal rates of change; both slopes are 3.

Which equation is related to the graph shown below? A) C) B) D)

Which best represents the graph of y = - 3 x + 4? A) C) B) D)

Graph A Graph B Graph C Graph D

The cost of pizza follows the equation y = 2 x + 8 where x represents the number of toppings on the pizza. What does the slope of the equation represent? A) C) B) D)

the cost for each slice of pizza the total cost for all toppings on the pizza the cost for each topping on the pizza the total cost for the pizza and delivery What is the equation of the line that fits the data below? A) C) B) D)

y = 4 x - 3 y = 3 x - 4 y = 4 x - 4 y = 4 x + 4

The table below shows the cost to produce a given number, x , of toy cars. Which expression best represents the relationship? A) C) B) D)

2 x + 30 3 x + 20 2 x - 30 3 x - 20 The table below shows the cost to produce a given number, x , of toy boats. Which expression best represents the relationship? A) C) B) D)

2 x + 30 3 x + 20 2 x - 30 3 x - 20

Which graph shows the water level of a bathtub which is filled and then emptied? A) C) B) D)

Which graph shows a car stopped at a stop sign, increasing to the speed limit, and then traveling at the speed limit? A) C) B) D)