Question

Постройте график функции y=tgx+9

Answer 1

Ответ:

см фото

Объяснение:

Answer 2

Plot of the Function y = tg(x) + 9

To plot the function y = tg(x) + 9, we can use a graphing tool or software. Unfortunately, I cannot generate a graph directly in this text-based interface. However, I can describe how the graph would look based on the equation.

The function y = tg(x) + 9 represents a tangent function shifted vertically upward by 9 units. The tangent function, also denoted as tan(x) or tg(x), is a periodic function that oscillates between positive and negative values.

Here are some key points to consider when visualizing the graph:

1. Vertical Shift: The entire graph is shifted upward by 9 units. This means that all points on the graph will be 9 units higher than the corresponding points on the standard tangent function.

2. Periodicity: The tangent function has a period of π radians or 180 degrees. This means that the graph repeats itself every π units horizontally.

3. Asymptotes: The tangent function has vertical asymptotes at odd multiples of π/2 radians or 90 degrees. These asymptotes divide the graph into separate sections.

4. Steepness: The tangent function has steep slopes near the asymptotes, which means that the graph will have sharp changes in direction.

To get a more accurate and visual representation of the graph, I recommend using a graphing tool or software that allows you to input the equation and generate the graph. You can also use online graphing calculators or software like Desmos or Wolfram Alpha to plot the function and explore its behavior.

Please note that the specific shape and characteristics of the graph may vary depending on the range of x-values you choose and the scale of the graph.

I hope this helps! Let me know if you have any further questions.