It seems to me that, in the process of "simplifying" a problem, you always make it more complicated than it originally was, before you finally solve it. I "simply" don't understand why you do this.
This is just a quadratic equation: y = f(x) = 1.x² + 0.x + 1 so a = 1 b = 0 c = 1 While a > 0 it will be a top down parabola Discriminator D = b² - 4ac = (0)² - 4 . (1) . (1) = 0 -4 = - 4 meaning there are no crossing with the x-axis or y = f(x) = 0 Combined with the positive a = 1 this means that the parabola is all above the x-axis. To conclude we can calculate the top of the parabola (xtop , ytop) with xtop = - b / 2a = 0 / 2.(1) = 0 and ytop = f(xtop) = f(0) = 1.(0)² + 0.(0) + 1 = 0 + 0 + 1 = 1 so top ( 0 , 1 ) Now we know the parabola is symmertical on the y-axis with the lowest point on ( 0 , 1 ) so crossing the y-axis at y =1
f(x) = x² + 1
inverse -> y = x² + 1
x = y² + 1
x - 1 = y²
√(x - 1) = √(y²)
y = ±√(x - 1)
Find the inverse : flip the (x, y) pairs to (y, x)
set of ordered pairs: {(1,3), (2, 5), (7, 9)}
Inverse (y, x) ---> {(3,1), (5, 2), (9, 7)}
It seems to me that, in the process of "simplifying" a problem, you always make it more complicated than it originally was, before you finally solve it. I "simply" don't understand why you do this.
Yes using 10 words when 1 will do.
Starts out by inventing a whole range of terminology.
woo hoo got all 3 thanks for the fun
One is square how many but same.
This is just a quadratic equation: y = f(x) = 1.x² + 0.x + 1 so a = 1 b = 0 c = 1
While a > 0 it will be a top down parabola
Discriminator D = b² - 4ac = (0)² - 4 . (1) . (1) = 0 -4 = - 4 meaning there are no crossing with the x-axis or y = f(x) = 0
Combined with the positive a = 1 this means that the parabola is all above the x-axis.
To conclude we can calculate the top of the parabola (xtop , ytop) with xtop = - b / 2a = 0 / 2.(1) = 0 and
ytop = f(xtop) = f(0) = 1.(0)² + 0.(0) + 1 = 0 + 0 + 1 = 1 so top ( 0 , 1 )
Now we know the parabola is symmertical on the y-axis with the lowest point on ( 0 , 1 ) so crossing the y-axis at y =1
Not impressed by the answer to the third question.
A set of points is not a function. The number of functions that could produce this output is infinite.
X number chahiye.