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 = x^{2} – 3x – 28 |
c) |

d) | e) |

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2) Write the equation of the line:

- a) through (–2, 3) parallel to

- b) through (–2, 3) and ( 1, 5)

- c) through the mid-point of A (–6, 3) B (4, 7) perpendicular to 3

- d) through (–6, 3) parallel to the

- 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 2*x* + 3*y* =24

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.B/

1) *y* = 2*x*^{2} – 60*x* + 25

- a) express

- 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

- v) draw the graph

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

a) y = x^{2} – 5x |
b) y = x^{2} – 4x – 21 |
c) y = x^{2} – 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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