Math 127 College Algebra Fall 2006 NAME:_____________

EXAM 1

7 problems, 10 points each

Instructions:

1. Show enough work to justify your answers.

2. Don't leave early unless you are sure you've solved all the problems.




  1. The graph of function $f$ and parts of its table of values are given below. Complete the table. Show your drawings on the plot.
    e1__2.png

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  2. Find the slope of the line passing through the points $(-1,2)$ and $(2,-2).$
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  3. Given a line $y=-3x+2006.$(a) Give an example of a line parallel to it. (b) Give an example of a line perpendicular to it.
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  4. Plot the graph of the function $y=|2x-1|+1$. Provide the table of values.MATH

  5. Find the equation of the circle of radius 2 centered at (-1,0)$.$

  6. (a) Suppose $h(x)=(g\circ f)(x)$ is the composition of the functions $y=f(x)=x^{2}+x$ and $g(y)=3y.$ Find $h(1).$ (b) Represent the function $h(x)=\sqrt{x-1}$ as the composition of $f$ and $g,$ MATH
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  7. The graph of a function is given below. Provide a list of relative maxima and minima and a list of intervals of increasing and decreasing behaviour of the function. Do not draw on the graph.
    e1__22.png

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