Question

При каких значениях x график функции y=4x-9 расположен выше оси x?

Answer 1

График функции расположен выше оси Ох, когда значение функции положительно, то есть у>0, тогда
4x-9>0,
4x>9,
x>9/4,
x>2,25

Answer 2

Understanding the Function

The function given is y = 4x - 9. We want to determine the values of x for which the graph of this function is located above the x-axis.

Analyzing the Function

To find the values of x for which the graph of the function y = 4x - 9 is located above the x-axis, we need to consider the y-values when x is substituted into the function.

Determining the Position of the Graph

The graph of the function y = 4x - 9 will be located above the x-axis when the y-values are positive.

Conclusion

The graph of the function y = 4x - 9 is located above the x-axis when the y-values are positive, which occurs when 4x - 9 > 0. Solving this inequality will give us the range of x-values for which the graph is above the x-axis.

The inequality 4x - 9 > 0 can be solved to find the values of x for which the graph of the function is located above the x-axis.

x > 9/4.

Therefore, the graph of the function y = 4x - 9 is located above the x-axis when x > 9/4.

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