Section 03
Quiz 4a
Spring 200
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64181 Precalculus
Section 03 |
| Answers |
Question 1 (5 points) Do Either (a) or (b)
(a) Find the equation of the line l in Figure 4.1 below in terms of the constants A and B.
| Figure 4.1
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Answer
for f(x) = x2
2 Points are (A, A2) and (B, B2)
Using point (A, A2) and the point slope formula
So possible formula is
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or
(b) Find domain and range
of the function 
| Domain: denominator
cannot be zero and cannot have sqrt of negative number.
So So solve for x in Domain is Range is (e.g. When x = 0.9999999991, y = 23570) |
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Question 2 (5 points) Write a formula for the function y = f(x) shown in Figure 4.2
(hint: piecewise defined functions)
| Figure 4.2
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First equation is linear with slope, m = 1 and y-int = (0, 1)
Second equation is linear with slope, m = 0 and y-int = (0, 3)
Third equation is linear slope is Using (3, 2):
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(note when
x = 0, y = 1 its lowest value, since any other values of x within the
domain is larger than 1)
since
