The graph of y=x²+16/x has been drawn, what lines should be drawn on this graph to solve following equations?
a) x³ - x² + 16 = 0
b) x³ - 3x² - 8x + 16 = 0
I beg u guys pls someone answer it thnxxx :(
Answers
Answer:
Mountains provide for the freshwater needs of more than half of humanity, and are, in effect, the water towers of the world. The world's mountains encompass some of the most spectacular landscapes, a great diversity of species and habitat types, and distinctive human communities
Step-by-step explanation:
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Answer:
Students will be familiar from earlier years with the graph of the function y = x2 which they obtained by making up a table of values and plotting points. This graph is called a parabola. The path of a ball tossed under gravity at an angle to horizontal (roughly)
traces out a parabola.
For the sake of convenience we will refer to the graph of y = x2 as the basic parabola.
The basic parabola has a number of important properties.
the graph is symmetrical about the y-axis. This means that the y-value at, say x = 3, is the same as the y-value at x = −3. The y-axis is called the axis of symmetry of the parabola.
the minimum value of y occurs at the origin. This point is called the vertex of the parabola. It also represents the minimum value of the function, since the y-values to the right and left of this point are greater than the y-value at the origin.
the arms of the parabola continue indefinitely, becoming steeper the higher they go.
This basic parabola can be reflected in vertical and horizontal lines and translated to produce congruent parabolas. It is also possible to reflect in other lines and rotate parabolas, but the corresponding algebra is difficult and is generally studied in later years using matrices.
Since each point on the basic parabola satisfies the equation y = x2 we can express the coordinates of the general point by (a, a2). Thus the value a = 2, gives the point (2, 4).
