Basic Numeracy Skills and Practice by J. Newbury PhD (auth.)

By J. Newbury PhD (auth.)

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Sketch the graph using your results to Exercise 136. ) What happens when x = O? Let us now review this rather special curve. (i) Obvious points, easily plotted? We did some calculations and could have managed with fewer. (ü) 'Top' or 'bottom' points? There are none in this case, because the graph progresses smoothly (continuously) downwards as x changes from very small (positive) values to larger (positive) values; and it also moves smoothly downwards from left to right for negative values of x.

W 32x ' 2 5 Quadratic Expressions The type of equation I have so far dealt with is usually known as a 'linear' equation because of its connection with a straight line graph. I shall explain this connection later, but here our main purpose is to give understanding of algebraic manipulation and another task awaits us, namely the type of equation known as the quadratic equation. To prepare for that, attempt the following questions. Exercise 71: What is the area of a rectangle whose length is 6 cm and whose width is 4 cm?

We can analyse the rule: y=2 gradientJ Exercise 128: +1 t . where the lme cuts y axis (usually known as the intercept) Find the equations of the seven lines shown on the graphs (figures 14 - 20). y (ii) y 4 Figure 14 Figure 15 Figure 16 42 Basic Numeracy Skills y (iv) 1 Figure 17 y (v) y (vi) 4 4 y (vii) 4 3 3 2 o 2 3 Figure 18 o 4 x Figure 19 Figure 20 10 Equation to Graph In chapter 9 we investigated the problem of finding the equation of a straight line given the graph of the line. In practice we often need to reverse this step - to draw a graph of a straight line whose equation is given.

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