Qualification > Math
P1,functions
simba:
excuse me guyz, but I want to know how to get the range when he asks me in the question???
plz reply URGENT
astarmathsandphysics:
10 The function f is defined by f : x ? 2x2 ? 12x + 13 for 0 ? x ? A, where A is a constant.
(i) Express f(x) in the form a(x + b)2 + c, where a, b and c are constants. [3]
(ii) State the value of A for which the graph of y = f(x) has a line of symmetry. [1]
(iii) When A has this value, find the range of f. [2]
The function g is defined by g : x ? 2x2 ? 12x + 13 for x ? 4.
(iv) Explain why g has an inverse. [1]
(v) Obtain an expression, in terms of x, for g?1(x).
I will assume
line of symmetry at x=-6
range is since
g has an inversrse because there is only one g(x) for every value of x
see http://www.astarmathsandphysics.com/a_level_maths_notes/C3/a_level_maths_notes_c3_inverting_functions.html
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