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Positive And Negative Intervals Worksheet

Written By Friday, October 14, 2022 Add Comment Edit

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 𝑥 ∈ ℝ − { − 1 , three } , and the function equals zero when 𝑥 ∈ { − 1 , 3 } .
  • BThe office is positive when 𝑥 ∈ ℝ − { − 1 , iii } , and the function equals zero when 𝑥 ∈ { − 1 , 3 } .
  • CThe function is positive when 𝑥 ∈ ] − one , 3 [ , the role is negative when 𝑥 ∈ ℝ − [ − 1 , 3 ] , and the function equals zero when 𝑥 ∈ { − 1 , 3 } .
  • DThe function is negative when 𝑥 ∈ ] − one , 3 [ , the function is positive when 𝑥 ∈ ℝ − [ − one , 3 ] , and the function equals zero when 𝑥 ∈ { − one , 3 } .
  • EThe function is negative for all 𝑥 ∈ ℝ .

Q3:

In which of the following intervals is 𝑓 ( 𝑥 ) = − 8  negative?

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

Q4:

Determine the sign of the function 𝑓 ( 𝑥 ) = − v 𝑥 + 5 .

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

Q5:

For which values of 𝑥 is the part 𝑓 ( 𝑥 ) = 8 𝑥 − 1 iii  positive?

  • A 𝑥 ≤ ane 3 8
  • B 𝑥 > − 1 3 8
  • C 𝑥 > i 3 8
  • D 𝑥 ≥ ane 3 viii
  • Due east 𝑥 < 1 3 8

Q6:

Make up one's mind the sign of the role 𝑓 ( 𝑥 ) = ( 2 𝑥 − one ) .

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

Q7:

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

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

Q8:

Determine the sign of the part 𝑓 ( 𝑥 ) = − 𝑥 − 2 𝑥 − 7 .

  • AThe office is positive for all 𝑥 ∈ ℝ − { 0 } , and the function equals zippo when 𝑥 = 0 .
  • BThe function is negative for all 𝑥 ∈ ℝ − { 0 } , and the function equals nothing when 𝑥 = 0 .
  • CThe function is positive for all 𝑥 ∈ ℝ .
  • DThe function is negative for all 𝑥 ∈ ℝ .

Q9:

What are the values of 𝑥 for which the functions 𝑓 ( 𝑥 ) = 𝑥 − v and 𝑔 ( 𝑥 ) = 𝑥 + 2 𝑥 − 4 8 are both positive?

  • A 𝑥 > − viii
  • B 𝑥 > 6
  • C 𝑥 < − 8
  • D 𝑥 < 6
  • E 𝑥 > v

Q10:

Determine the interval where the sign of both of the ii functions 𝑓 ( 𝑥 ) = 2 𝑥 − 7 𝑥 − 3 0 and 𝑔 ( 𝑥 ) = 𝑥 − 3 𝑥 − 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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