Home
Class 11
MATHS
Write the value of f at -4, 1, -2, 7, 0 ...

Write the value of `f` at `-4, 1, -2, 7, 0` if
`f(x)={:{(-x+4,"if "-oo lt x le -3),(x+4,"if "-3 lt x lt -2),(x^(2)-x,"if "-2 le x lt 1),(x-x^(2),"if "1 le x lt 7),(0,"otherwise"):}`

Text Solution

Verified by Experts

The correct Answer is:
`f(0)=0`
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER - 3

    FULL MARKS|Exercise PART-III|10 Videos

  • SAMPLE PAPER - 3

    FULL MARKS|Exercise PART - IV|7 Videos

  • SAMPLE PAPER - 3

    FULL MARKS|Exercise PART - IV|7 Videos

  • SAMPLE PAPER - 2

    FULL MARKS|Exercise PART - III|17 Videos

  • SAMPLE PAPER -17

    FULL MARKS|Exercise PART -IV|7 Videos

Similar Questions

Explore conceptually related problems

Write the values of f at -4,1,-2,7,0 if f(x)= {(-x+4,if,-ooltxlt=-3),(x+4,if,-3ltxlt-2),(x^(2)-x, if," "-2lt=xlt1),(x-x^(2), if, " "1lt=xlt7),(0,"", " ""otherwise"):}

Discuss the continuity of the function f, where f is defined by f(x)={{:(3," if "0 le xle 1),(4," if "1 lt x lt 3),(5," if "3 le x le 10):} .

Find all points of discontinuity of f, where f is defined by f(x)={{:(|x|+3," if "x le -3),(-2x," if "-3 ltx lt 3),(6x+2," if "x ge 3):} .

Discuss the continuity of the function f, where f is defined by f(x)={{:(-2," if "x le -1),(2x," if "-1 lt x le 1),(2," if "x gt 1):} .

6 le -3 (2x-4) lt 12

f(x) = (2x^(2) + 3)/(5), for oo lt x le 1 = 6 -5x, for 1 lt x lt 3 = x-3, for 3 le x lt 8, then

The cumculative distribution function of a discrete random variable is given by F(x)={{:(0, "for "-infty lt x lt 0), ( 1/2, "for " 0 le x lt 1), (3/5, "for " 1 le x lt 2), (4/5, "for " 2 le x lt 3), (9/10, "for " 3 le x lt 4), (1, "for " 4 le x lt infty):} Find (i) the probability mass function (ii) P(X lt 3) and (iii) P(X ge 2) .