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Natasha2012 [34]
1 year ago
13

How do you sketch a graph of a function?

Mathematics
1 answer:
Illusion [34]1 year ago
4 0

The graph of a function can be sketched by plotting points.

First and foremost, it is to be determined if the function is odd/even or periodic. Next, we find the x and y intercepts. To sketch a graph of a function, one can start by plotting a few points that lie on the graph using the coordinates given by the function. For example, if the function is y = x², then points (0, 0), (1, 1), and (2, 4) can be plotted by substituting the values of x into the function to find the corresponding values of y.

Subsequent to this, one can connect the points with a smooth curve to form the graph of function. If the function is a straight line, the graph will be a straight line. If the function is quadratic, the graph will be a parabola. The graph may take on a more complicated shape for more complex functions.

Read more about the graph of a function on:

brainly.com/question/26857518

#SPJ4

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Answer:

g(x)

Step-by-step explanation:

The vertex of g(x) as shwon in the graph is located in the point wich coordinates are (3.5,6.25) approximatively

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  • Here is a way without derivating:

f(x) = -x² + 4x -5

let a be the leading factor, b the factor of x and c the constant:

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The coordinates of a vertex are: (\frac{-b}{2a} , f(\frac{-b}{2a}) )

-b/2a = -4/ (-1*2) = 4/2 = 2

f(2)= -2²+4*2-4 = -4+4-4 = -4

obviosly f(x) has a minimum wich less than g(x)'s maximum

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