8/18/2019 Chapter 3 Exercise.docx

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1. State the maximum or minimum value for each of the following quadratic function and

state the value of x at which the function is maximum or minimum. Find the maximum or 

minimum point and finally state axis of symmetry for each case.

a.   f ( x) = -( x ! ") # $

 %.   f ( x) = "( x ! $) # 1&

c.   f ( x) = -"( x # ) ! 'd.   f ( x) = - # ( x # )

. *xpress  y = # $ x  !  x  in the form y  = a  ! ( x  # b)+ where a+ b+ and c are constants.

,ence+ state the maximum value of y and the value of x at which it occurs. Setch the

curve y = # $ x ! x.

". iven x=

6− y

3 + find the range of values of x for which y / '.

$. iven  x # " y ! 0 = &+ find the range of values of x for which y  $.

. Find the range of values of x which satisfy the following inequalities2

a. ( x # 1)(" x ! 1) 1$

 %. ( x ! )( x ! $) # 1 / &

0. Find the value of p for which  y = x #  p is a tangent to the curve  y = x # p.

3. 4he straight line y = k  # 1 intersects the curve  y= x+k 2

 x  at two distinct points. Find

the range of values of k .

. Find the range of values of m for which the straight line y = mx # 0 does not meet the

curve  x ! xy = ".

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