Question

Y=x²-25/x-5 график функции​

Answer 1

Решение задания прилагаю

Answer 2

To plot the graph of the function f(x) = (x² - 25) / (x - 5), we can start by analyzing the function and identifying its key features.

The function f(x) has a vertical asymptote at x = 5 since the denominator becomes zero at that point. This means that the function approaches infinity as x approaches 5 from both sides.

We can also find the x-intercept by setting the numerator equal to zero:

x² - 25 = 0 (x - 5)(x + 5) = 0

From this, we can see that the function has x-intercepts at x = -5 and x = 5.

To plot the graph, we can create a table of values by substituting different values of x into the function and calculating the corresponding values of f(x).

Let's calculate the values:

x | f(x)

-10 | 15 -6 | -7 -4 | -9 0 | 5 4 | 9 6 | 7 10 | 15

Using these values, we can now plot the graph:

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     |
     |
     |
     |                       x
     |
     |                      x
     |
     |                 x
     |
_____|_____________________________
     -10     -5     0      5     10

The graph will approach infinity as it approaches x = 5, and there will be holes in the graph at x = -5 and x = 5. The graph will have a symmetrical appearance due to the nature of the function.

Please note that the graph is just an approximation based on the calculated values, and you may want to use graphing software or a graphing calculator for a more accurate representation.