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Chapter 3 Exercise.docx
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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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