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Positive And Negative Intervals Worksheet

Lesson Worksheet: Sign of a Office Mathematics

In this worksheet, we will practice determining the sign of a function from its equation or graph.

Q1:

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

  • A ] , ii [
  • B ] 2 , [
  • C ℝ { 2 }
  • D ] , 2 [
  • E ] 2 , [

Q2:

Make up one's mind the sign of the office represented by the figure below in ℝ .

  • AThe function is negative when π‘₯ ℝ { 1 , three } , and the function equals zero when π‘₯ { 1 , 3 } .
  • BThe office is positive when π‘₯ ℝ { 1 , iii } , and the function equals zero when π‘₯ { 1 , 3 } .
  • CThe function is positive when π‘₯ ] one , 3 [ , the role is negative when π‘₯ ℝ [ 1 , 3 ] , and the function equals zero when π‘₯ { 1 , 3 } .
  • DThe function is negative when π‘₯ ] one , 3 [ , the function is positive when π‘₯ ℝ [ one , 3 ] , and the function equals zero when π‘₯ { one , 3 } .
  • EThe function is negative for all π‘₯ ℝ .

Q3:

In which of the following intervals is 𝑓 ( π‘₯ ) = 8  negative?

  • A ( 8 , viii )
  • B ( , )
  • C ( , 8 )
  • D ( 8 , )
  • E ( 8 , )

Q4:

Determine the sign of the function 𝑓 ( π‘₯ ) = v π‘₯ + 5 .

  • AThe office is positive when π‘₯ > i , the function is negative when π‘₯ < one , and the function equals zero when π‘₯ = 1 .
  • BThe function is positive when π‘₯ < 1 , the function is negative when π‘₯ > 1 , and the role equals zero when π‘₯ = ane .
  • CThe role is positive when π‘₯ < 1 , the role is negative when π‘₯ > ane , and the part equals zero when π‘₯ = 1 .
  • Dpositive
  • EThe part is positive when π‘₯ > 1 , the function is negative when π‘₯ < 1 , and the function equals naught when π‘₯ = ane .

Q5:

For which values of π‘₯ is the part 𝑓 ( π‘₯ ) = 8 π‘₯ 1 iii  positive?

  • A π‘₯ ane 3 8
  • B π‘₯ > 1 3 8
  • C π‘₯ > i 3 8
  • D π‘₯ ane 3 viii
  • Due east π‘₯ < 1 3 8

Q6:

Make up one's mind the sign of the role 𝑓 ( π‘₯ ) = ( 2 π‘₯ one ) .

  • AThe function is negative when π‘₯ ℝ i 2 and equals zero when π‘₯ = ane two .
  • BThe function is positive when π‘₯ ℝ 1 2 and equals zippo when π‘₯ = 1 2 .
  • CThe part is positive when π‘₯ ℝ { 2 } and equals nix when π‘₯ = 2 .
  • DThe role is negative for all π‘₯ ℝ .
  • Due eastThe function is positive when π‘₯ ℝ { 1 } and equals zip when π‘₯ = 1 .

Q7:

Make up one's mind the sign of the function 𝑓 ( π‘₯ ) = π‘₯ + 1 0 π‘₯ + i six .

  • AThe function is positive when π‘₯ ( viii , ii ) , the function is negative when π‘₯ ℝ [ 8 , 2 ] , and the function equals zero when π‘₯ { 8 , two } .
  • BThe role is positive when π‘₯ ℝ [ 8 , 2 ] , the function is negative when π‘₯ ( 8 , 2 ) , and the office equals zero when π‘₯ { viii , 2 } .
  • CThe role is positive when π‘₯ ℝ { viii , ii } , the function is negative when π‘₯ [ viii , two ] , and the function equals nada when π‘₯ { eight , two } .
  • DThe function is positive when π‘₯ [ viii , two ] , the office is negative when π‘₯ ℝ { 8 , 2 } , and the function equals aught when π‘₯ { eight , two } .

Q8:

Determine the sign of the part 𝑓 ( π‘₯ ) = π‘₯ 2 π‘₯ 7 .

  • AThe office is positive for all π‘₯ ℝ { 0 } , and the function equals zippo when π‘₯ = 0 .
  • BThe function is negative for all π‘₯ ℝ { 0 } , and the function equals nothing when π‘₯ = 0 .
  • CThe function is positive for all π‘₯ ℝ .
  • DThe function is negative for all π‘₯ ℝ .

Q9:

What are the values of π‘₯ for which the functions 𝑓 ( π‘₯ ) = π‘₯ v and 𝑔 ( π‘₯ ) = π‘₯ + 2 π‘₯ 4 8 are both positive?

  • A π‘₯ > viii
  • B π‘₯ > 6
  • C π‘₯ < 8
  • D π‘₯ < 6
  • E π‘₯ > v

Q10:

Determine the interval where the sign of both of the ii functions 𝑓 ( π‘₯ ) = 2 π‘₯ 7 π‘₯ 3 0 and 𝑔 ( π‘₯ ) = π‘₯ 3 π‘₯ 1 0 is negative in 𝑅 .

  • A ( half dozen , )
  • B ℝ [ 2 , 5 ]
  • C , 5 2
  • D , 5 ii ( vi , )
  • E ( 2 , 5 )

This lesson includes 56 boosted questions and 369 boosted question variations for subscribers.

Positive And Negative Intervals Worksheet,

Source: https://www.nagwa.com/en/worksheets/750148279131/

Posted by: jonesbeink1945.blogspot.com

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