Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.
Start Practicing

Worksheet: Determining the Sign of a Function from a Graph

Q1:

Determine the sign of the function represented by the figure below in .

  • AThe function is negative for all .
  • BThe function is negative when , the function is positive when , and the function equals zero when .
  • CThe function is positive when , and the function equals zero when .
  • DThe function is positive when , the function is negative when , and the function equals zero when .
  • EThe function is negative when , and the function equals zero when .

Q2:

Determine the sign of the function represented by the figure below across its domain in .

  • AThe function is positive when and equals zero when .
  • BThe function is positive when , negative when , and zero when .
  • CThe function is negative when and equals zero when .
  • DThe function is negative when , positive when , and zero when .

Q3:

Determine the sign of the function represented by the figure below over the interval [ 1 , 8 ] .

  • AThe function is negative for all π‘₯ ∈ ℝ βˆ’ { 1 , 7 } , and the function equals zero when π‘₯ ∈ { 1 , 7 } .
  • BThe function is positive when π‘₯ ∈ ( 1 , 7 ) , the function is negative when π‘₯ ∈ ( 7 , 8 ] , and the function equals zero when π‘₯ ∈ { 1 , 7 } .
  • CThe function is positive for all π‘₯ ∈ ℝ βˆ’ { 1 , 7 } , and the function equals zero when π‘₯ ∈ { 1 , 7 } .
  • DThe function is negative when π‘₯ ∈ ( 1 , 7 ) , the function is positive when π‘₯ ∈ ( 7 , 8 ] , and the function equals zero when π‘₯ ∈ { 1 , 7 } .

Q4:

Which of the following correctly describes the interval over which the illustrated function is negative?

  • A
  • B
  • C
  • D
  • E

Q5:

Determine the sign of the function represented in the figure below in .

  • AThe function is positive when , negative when , and zero when .
  • BThe function is positive when , negative when , and zero when .
  • CThe function is positive when , negative when , and zero when .
  • DThe function is positive when , negative when , and zero when .
  • EThe function is positive when , negative when , and zero when .

Q6:

Determine the sign of the quadratic function represented in the graph below in ℝ .

  • AThe function is negative for all π‘₯ ∈ ℝ βˆ’ { βˆ’ 4 } , and zero when π‘₯ = βˆ’ 4 .
  • BThe function is negative for all π‘₯ ∈ ℝ .
  • CThe function is positive for all π‘₯ ∈ ℝ βˆ’ { βˆ’ 4 } , and zero when π‘₯ = βˆ’ 4 .
  • DThe function is positive for all π‘₯ ∈ ℝ .
  • EThe function is is positive for all π‘₯ ∈ ℝ βˆ’ { 6 } , and zero when π‘₯ = 6 .

Q7:

Determine the sign of the function

  • AThe function is negative in the interval , and the function equals zero at .
  • BThe function is negative in the interval , and the function equals zero at .
  • CThe function is positive in the interval , the function is negative in the interval , and the function equals zero at .
  • DThe function is positive in the interval , and the function equals zero at .