PRE-CAL MATH TEST

Show all your work. Write neatly and clearly.

A/

1)Test the following to see if they are functions. If they are

 i) state one-to-one or many-to-one ii) state the domain.

If they're not, say why.

 a) x = y 2 b) y = x2 – 3x – 28 c) d) e)

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2) Write the equation of the line:

a) through (–2, 3) parallel to y = –5x + 7
b) through (–2, 3) and ( 1, 5)
c) through the mid-point of A (–6, 3) B (4, 7) perpendicular to 3x – 5y + 10 = 0
d) through (–6, 3) parallel to the Y-axis
e) that bisects A (1, –3) B (7, –7) at right angles.

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3) State the slope, y-intercept and x-intercept of 2x + 3y =24

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.B/

1) y = 2x2 – 60x + 25

a) express y in the form a(xh)2 + k
b) describe the graph of y stating the following:
i) whether it opens upwards or downwards
ii) the co-ordinates of the vertex
iii) the equation of the axis of symmetry
iv) the maximum or minimum value of y.
v) draw the graph

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2) Find the x-intercepts or ZEROS (if any) for:

 a) y = x2 – 5x b) y = x2 – 4x – 21 c) y = x2 – 4x + 5

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3) A farmer has 60 meters of fencing to enclose a rectagular field along a riverbank.
The side along the river needs no fence since his cows can't swim.
What dimensions should he make the field in order enclose a maximum area?
(Make a diagram!!)

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