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Laabri

Yr11 Functions

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Last updated 4 months ago
42 Nsɛmmisa
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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Is this a relation or a function? Explain your answer.

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2.

Is this is a relation or a function. Explain your answer.

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3.

Given the function f(x) = 3x^2 - 2x + 1, find the value of f(5).

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4.

If g(x) = x^3 - 4x^2 + 3x - 2, calculate the value of g(-1).

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5.

Assuming h(x) = 2x - 3 and g(x) = 3x + 2, what is h(g(2))?

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6.

Consider a function k(x) = 4x^2 - 1. What is k(-2)?

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7.

Find f(4)

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8.

Find g(0)

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9.

Find g(5)

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10.

Find the value of x such that f(x) = g(x)

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11.
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12.
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14.
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15.

For

Find f(-x)

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16.

For

Find f(x+1)

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17.

State for domain and the range for:

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18.

State for domain and the range for:

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19.

State for domain and the range for:

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20.

State for domain and the range for:

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21.

Find the natural domain of:

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22.

Find the natural domain of:

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23.

Find the natural domain of:

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24.

Find the natural domain of:

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25.

Find the natural domain of:

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26.

Find the natural domain of:

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27.

Find the natural domain of:

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28.

Given two functions, f(x) = 3x + 2 and g(x) = x^2. What is the composite function f(g(x))?

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29.

Given f(x) = 2x - 3 and g(x) = x + 4. Find the composite function (f(g(x)) and simplify.

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30.

If f(x) = x^3 and g(x) = x - 2, what is g(f(x))?

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31.

Let f(x) = 5x+1 and p(x) = x^4. Find the composite function p(f(x)).

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32.

Find f(g(x))

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33.

Hence find, f(g(5))

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34.

Find x such that f(g(x))= - 0.5

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35.

Given the function f(x) = 2x + 3, find the inverse of the function.

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36.

If g(x) = x^3 + 1, what is the inverse function?

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37.

Identify the inverse of the function of:

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38.

Find the inverse function

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39.

Draw the inverse function on the same set of axis:

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40.

Draw the inverse function on the same set of axis:

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41.

Find two functions f and g such that:

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42.

Take a picture of your working out and upload it.