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Function notation: Next we have to take a rapid look at function notation. Function notation is nothing more than way of writing the y in a function which will let to simplify notation and some of our work a little.
Let's take a look at the given function.
y = 2 x2 - 5x + 3
Using function notation we can write this as any of the following.
f ( x ) = 2x2 - 5x + 3 g ( x ) = 2 x2 - 5x + 3
h ( x ) = 2 x2 - 5x + 3 R ( x ) = 2 x2 - 5x + 3
w ( x ) = 2 x2 - 5x + 3 y ( x ) = 2 x2 - 5x + 3
Remember again that it is not a letter times x, it is just a fancy way of writing y. hence, why is this useful? Well let's take the function above & get the value of the function at x=-3. By using function notation we represent the value of the function at x=-3 as f(-3). Function notation provides us a nice compact way of representing function values.
Now, how do we in fact evaluate the function? That's actually simple. Everywhere we illustrate an x onto the right side we will substitute whatever is in the parenthesis on the left side. For our function it gives,
f ( -3) = 2 ( -3)2 - 5 ( -3) + 3
= 2 (9) + 15 + 3
= 36
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( a+2b)x + (2a - b)y = 2, (a - 2b)x + (2a +b)y = 3 (Ans: 5b - 2a/10ab , a + 10b/10ab ) Ans: 2ax + 4ay = y , we get 4bx - 2by = -1 2ax+ 4ay = 5 4bx- 2by = - 1
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