Reference no: EM131019570
1. The length of a rectangular field is 3 times its width. If fencing costs $12 per metre, express the cost, C, of fencing the field as a function of the width, w.
2. Draw a set of axes and then plot the graph of the function f(x) = 2x - 4, for -3 ≤ x ≤ 5.
3. (i) On a set of axes, sketch the graph of f(x) = x2 + 4x - 1 for -6 ≤ x ≤ 2.
Clearly show the points where the function crosses each axis and the point where the function has its minimum value.
(ii) Describe, in words, how the graph of f(x) = (x + 1)2 + 4(x + 1) - 1 would look on the same set of axes.
4. Sketch the function g(x) = 3 / ((x + 2), clearly showing the two asymptotes for the function.
Given that f(x) = (12/x) + 3x - x2, write down:
(i) f(-3)
(i) f(h)
(iii) f(3+h),
(iv) f(3+h)/h
6. Draw a set of axes, show the region for which 0 ≤ x ≤ 1 and 0 ≤ y ≤ 5.
7. Find the domain and range of the function f(x) = √(5 - x). On a set of axes, give a sketch graph of f(x).
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Do exponential functions only model phenomena that grow
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Find the domain and range of the given function
: Find the domain and range of the function f(x) = √(5 - x). On a set of axes, give a sketch graph of f(x). Describe, in words, how the graph of f(x) = (x + 1)2 + 4(x + 1) - 1 would look on the same set of axes.
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