Textbook

11 Functions and Applications Nelson
Chapter

Chapter 3
Section

Mid Chapter Review (Working with Quad Fun, NelApp)

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Solutions
20 Videos

Write each function in standard form.

`\displaystyle f(x)=(x+7)(2 x+3) `

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Q1a

Write each function in standard form.

`\displaystyle g(x)=(6-x)(3 x+2) `

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Q1b

Write each function in standard form.

`\displaystyle f(x)=-(2 x+3)(4 x-5) `

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Q1c

Write each function in standard form.

`\displaystyle g(x)=-(5-3 x)(-2 x+1) `

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Q1d

Match each function to its graph.

a) `\displaystyle f(x)=x^{2}+7 x+10 `

b) `\displaystyle f(x)=(5-x)(x+2) `

c) `\displaystyle f(x)=-x^{2}+3 x+10 `

d) `\displaystyle f(x)=(x+2)(x+5) `

e) `\displaystyle f(x)=x^{2}-3 x-10 `

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Q2

Determine the maximum or minimum of each function.

`\displaystyle f(x)=x^{2}+2 x-35 `

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Q3a

Determine the maximum or minimum of each function.

`\displaystyle g(x)=-2 x^{2}-6 x+36 `

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Q3b

Determine the maximum or minimum of each function.

`\displaystyle f(x)=2 x^{2}-9 x-18 `

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Q3c

Determine the maximum or minimum of each function.

`\displaystyle g(x)=-2 x^{2}+x+15 `

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Q3d

Which form of a quadratic function do you find most useful? Use an example in your explanation.

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Q4

Graph each function, and then use the graph to locate the zeros.

`\displaystyle f(x)=x^{2}+2 x-8 `

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Q5a

Graph each function, and then use the graph to locate the zeros.

`\displaystyle g(x)=15 x^{2}-2 x-1 `

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Q5b

Graph each function, and then use the graph to locate the zeros.

`\displaystyle f(x)=8 x^{2}+6 x+1 `

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Q5c

Graph each function, and then use the graph to locate the zeros.

`\displaystyle g(x)=2 x^{2}-3 x-5 `

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Q5d

Solve by graphing.

`\displaystyle x^{2}+2 x-15=0 `

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Q6a

Solve by graphing.

`\displaystyle (x+3)(2 x+5)=0 `

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Q6b

Solve by graphing.

`\displaystyle 2 x^{2}-x-6=0 `

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Q6c

Solve by graphing.

`\displaystyle x^{2}+7 x=-12 `

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Q6d

A field-hockey ball must stay below waist height, approximately `\displaystyle 1 \mathrm{~m} `

, when shot; otherwise, it is a dangerous ball. Sally hits the ball. The function `\displaystyle h(t)=-5 t^{2}+10 t `

, where `\displaystyle b(t) `

is in metres and `\displaystyle t `

is in seconds, models the height of the ball. Has she shot a dangerous ball? Explain.

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Q7

Are `\displaystyle x=3 `

and `\displaystyle x=-4 `

the solutions to the equation `\displaystyle x^{2}-7 x+12=0 `

? Explain how you know.

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Q8