1.2 Basics of Functions and Their Graphs

​1.2 Basics of Functions and Their Graphs

Home

Open in new tab

Copy link

Home

Open in new tab

Copy link

Multiple Choice

Which of these sets is the RANGE of the graph? #1

• {0, 6, 12, 18}

• {-2, 0, 2, 4}

• {-2, 2, 4}

• {6, 12, 18}

Multiple Choice

What is the domain of the relation shown in the table? #2

• {12}

• {6, 18}

• {3, 9, 15, 16}

• {13}

Multiple Choice

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range. #5

• D: {1, -3, -4,}
  R: {0, 1, 2, -4}
• D:{0, 1, 2, -4}
  R:{1, -3, -4}
• D:{0, 1, 2, 3, 4}
  R:{1, -3, -4}

Multiple Choice

What is the domain of a relation? #6

• the set of all x-values

• the set of all y-values

Multiple Choice

What is the domain of $$h\left(x\right)$$  ? #47

• All real numbers

• $$\left(3,\ 4\right)$$  

• $$h\left(x\right)\ge4$$  

• $$h\left(x\right)>4$$  

Multiple Choice

What is the RANGE of this graph? #45

• y < -3

• y ≤ -3

• y > 1

• y ≥ 1

Multiple Choice

What is the range of the graph? #44

• (-∞,∞)
• [-1,0]
• [-1,3]
• [3,∞)

Multiple Choice

#37

• y = Ix + 2I - 1
• y = -Ix + 2I - 1
• y = -Ix - 2I - 1
• y = -Ix + 1I - 2

Multiple Choice

Which graph represents y as a function of x? #8

Home

Open in new tab

Copy link

Multiple Choice

Which graph represents y as a function of x? #10

Multiple Choice

Is this a function? Explain. #11

• Yes; it passes the horizontal line test.
• No; it is not a straight line.
• Yes; it passes the vertical line test.
• No; it does not pass the vertical line test

Multiple Choice

Is y a function of x? #12

• function

• not a function

Home

Open in new tab

Copy link

Multiple Choice

If f(x)=6x²-4, what is f(-1)? #16

• -2
• 13
• 2
• 0

Multiple Choice

Given f(x) = 3x² + 1, what is f(t + 2)? #23

• 3t² + 3

• (3t + 2)² + 1

• 3(t + 2)² + 1

• none of these

Home

Open in new tab

Copy link

Multiple Choice

What does the transformation $$f\left(x\right)\ \rightarrow\ f\left(x+1\right)-9$$ do to the graph of  $$f\left(x\right)$$  ? #29

• translates it left one unit and down 9 units

• translates it right one unit and down 9 units

• translates it up one unit and right 9 units

• translates it down one unit and left 9 units

Multiple Choice

Tell how the graph transformed. #28

y = (x - 3)²

• Translated right 3
• Translated left 3
• Translated up 3
• Translated down 9

Multiple Choice

If the blue is f(x)=x^2, then the red must be...#30

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

Multiple Choice

Tell how the function transformed from y =|x|. #36

y = -2|x|

• Translated left 2 units
• Reflected over x-axis
• Stretched vertically and reflected over x-axis
• Compressed vertically and reflected over the x-axis