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1. Give a short definition of each of the key words.

2. Exercise 1

3. Exercise 2

4. Exercise 3 (drawing your own graphs)

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Draw the following graphs using geogebra.

1) f:x -> 7 + 5x -2x²,

in the domain -1 ≤ x ≤ 4

2) f:x -> x² + 3x - 3 & g:x -> x-2 ,

in the domain -4 ≤ x ≤ 2

> Use the graph to find the minimum value of f(x).

> What is the meaning of f(x) < g(x)?

> Now find the range of values of x for which f(x) < g(x).

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Graph functions, investigate equations, and plot data with our free graphing app

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The curved attached is the graph of the function:

f:x -> 3 +2x - x² for -2 ≤ x ≤ 4.

Use the graph to write down

> the roots of the equation f(x)= 0

> the values of x for which f(x)= 3

> the value of f (2 1/2)

> the maximum value of f(x)

> the coordinates of the maximum point of f(x)

> the range of values of x for which f(x) is increasing

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The curve attached is the graph of the function:

y = x² - 4x + 3

From the graph, write down

> the coordinates of the points where the curve crosses the x-axis.

> the value of y when x= 2

> the value of y when x= 8

>the minimum point of the curve.

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> quadratic function

> parabola

>coefficient

> maximum value

> minimum value

>axis of symmetry

Exercise:

Give a short definition of each of these.