banner



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 ] βˆ’ ∞ , βˆ’ ii [
  • B ] βˆ’ 2 , ∞ [
  • C ℝ βˆ’ { βˆ’ 2 }
  • D ] βˆ’ ∞ , 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 βˆ’ { βˆ’ 1 , three } , and the function equals zero when π‘₯ ∈ { βˆ’ 1 , 3 } .
  • BThe office is positive when π‘₯ ∈ ℝ βˆ’ { βˆ’ 1 , iii } , and the function equals zero when π‘₯ ∈ { βˆ’ 1 , 3 } .
  • CThe function is positive when π‘₯ ∈ ] βˆ’ one , 3 [ , the role is negative when π‘₯ ∈ ℝ βˆ’ [ βˆ’ 1 , 3 ] , and the function equals zero when π‘₯ ∈ { βˆ’ 1 , 3 } .
  • DThe function is negative when π‘₯ ∈ ] βˆ’ one , 3 [ , the function is positive when π‘₯ ∈ ℝ βˆ’ [ βˆ’ one , 3 ] , and the function equals zero when π‘₯ ∈ { βˆ’ one , 3 } .
  • EThe function is negative for all π‘₯ ∈ ℝ .

Q3:

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

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

Q4:

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

  • AThe office is positive when π‘₯ > βˆ’ i , the function is negative when π‘₯ < βˆ’ one , and the function equals zero when π‘₯ = βˆ’ 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‘₯ < βˆ’ 1 , the role is negative when π‘₯ > βˆ’ ane , and the part equals zero when π‘₯ = βˆ’ 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‘₯ βˆ’ 1 iii  positive?

  • A π‘₯ ≀ ane 3 8
  • B π‘₯ > βˆ’ 1 3 8
  • C π‘₯ > i 3 8
  • D π‘₯ β‰₯ ane 3 viii
  • Due east π‘₯ < 1 3 8

Q6:

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

  • AThe function is negative when π‘₯ ∈ ℝ βˆ’  i 2  and equals zero when π‘₯ = ane two .
  • BThe function is positive when π‘₯ ∈ ℝ βˆ’  1 2  and equals zippo when π‘₯ = 1 2 .
  • CThe part is positive when π‘₯ ∈ ℝ βˆ’ { 2 } and equals nix when π‘₯ = 2 .
  • DThe role is negative for all π‘₯ ∈ ℝ .
  • Due eastThe function is positive when π‘₯ ∈ ℝ βˆ’ { βˆ’ 1 } and equals zip when π‘₯ = βˆ’ 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‘₯ ∈ ( βˆ’ viii , βˆ’ ii ) , the function is negative when π‘₯ ∈ ℝ βˆ’ [ βˆ’ 8 , βˆ’ 2 ] , and the function equals zero when π‘₯ ∈ { βˆ’ 8 , βˆ’ two } .
  • BThe role is positive when π‘₯ ∈ ℝ βˆ’ [ βˆ’ 8 , βˆ’ 2 ] , the function is negative when π‘₯ ∈ ( βˆ’ 8 , βˆ’ 2 ) , and the office equals zero when π‘₯ ∈ { βˆ’ viii , βˆ’ 2 } .
  • CThe role is positive when π‘₯ ∈ ℝ βˆ’ { βˆ’ viii , βˆ’ ii } , the function is negative when π‘₯ ∈ [ βˆ’ viii , βˆ’ two ] , and the function equals nada when π‘₯ ∈ { βˆ’ eight , βˆ’ two } .
  • DThe function is positive when π‘₯ ∈ [ βˆ’ viii , βˆ’ two ] , the office is negative when π‘₯ ∈ ℝ βˆ’ { βˆ’ 8 , βˆ’ 2 } , and the function equals aught when π‘₯ ∈ { βˆ’ eight , βˆ’ two } .

Q8:

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

  • AThe office is positive for all π‘₯ ∈ ℝ βˆ’ { 0 } , and the function equals zippo when π‘₯ = 0 .
  • BThe function is negative for all π‘₯ ∈ ℝ βˆ’ { 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‘₯ βˆ’ v and 𝑔 ( π‘₯ ) = π‘₯ + 2 π‘₯ βˆ’ 4 8  are both positive?

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

Q10:

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

  • A ( half dozen , ∞ )
  • B ℝ βˆ’ [ βˆ’ 2 , 5 ]
  • C ο€Ό βˆ’ ∞ , βˆ’ 5 2 
  • D ο€Ό βˆ’ ∞ , βˆ’ 5 ii  βˆͺ ( vi , ∞ )
  • E ( βˆ’ 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

Related Posts

0 Response to "Positive And Negative Intervals Worksheet"

Post a Comment

Iklan Atas Artikel

Iklan Tengah Artikel 1

Iklan Tengah Artikel 2

Iklan Bawah Artikel