Mid Chapter Review
Chapter
Chapter 1
Section
Mid Chapter Review
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Solutions 16 Videos

Determine which relations are functions. For those which are, explain why.

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Q1a

Determine which relations are functions. For those which are, explain why.

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Q1b

Determine which relations are functions. For those which are, explain why.

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Q1c

Determine which relations are functions. For those which are, explain why.

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Q1d

Determine which relations are functions. For those which are, explain why.

\displaystyle y =-(x -3)^2 + 5

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Q1e

Determine which relations are functions. For those which are, explain why.

\displaystyle y = \sqrt{x -4}

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Q1f

Use numeric and graphical representations to show that x^2 + y = 4 is a function but x^2 + y^2 = 4 is not a function.

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Q2

A teacher asked her students to think of a number, multiply it by 5, and subtract the product from 20.

Then she asked them to multiply the resulting difference by the number they first thought of.

a) Use function notation to express the final anSWer in terms of the original number.

b) Determine the outputs for the input numbers 1, -1, and 7.

c) Determine the maximum result possible.

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Q4

Determine the domain and range for each.

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Q6

A farmer has 600 m of fencing to enclose a rectangular area and divide it into three sections as shown.

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Q7

Determine the domain and range.

A parabola has a vertex at (-2, 5), and y = 5 is its maximum value.

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Q8a

Determine the domain and range.

A parabola has a vertex at (3, 4), and) y= 4 is its minimum value.

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Q8b

Determine the domain and range.

A parabola has a vertex at (3, 4), and) y= 4 is its minimum value.

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Q8c

Determine the domain and range.

A circle has a centre at (2, 5) and a radius of 4.

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Q8d