Question

Найдите область значений функций у=0,5х+1

Answer 1

$(-\infty; +\infty)$
Это при условии, что область определения такая же.

Answer 2

Finding the Range of the Function y = 0.5x + 1

To find the range of the function y = 0.5x + 1, we need to determine the set of all possible output values (y-values) for the given function.

The function y = 0.5x + 1 is a linear function, where the coefficient of x is 0.5 and the constant term is 1.

Analyzing the Function

The function y = 0.5x + 1 is a linear function, and its range can be determined by analyzing its behavior and properties.

The coefficient of x in the function y = 0.5x + 1 is 0.5, which indicates that the function has a positive slope. This means that as x increases, y will also increase.

Determining the Range

To determine the range of the function y = 0.5x + 1, we can consider the behavior of the function and the properties of linear functions.

The range of a linear function in the form y = mx + b, where m is the slope and b is the y-intercept, is all real numbers if the slope is positive.

For the function y = 0.5x + 1, the range is all real numbers, as the slope is positive.

Therefore, the range of the function y = 0.5x + 1 is all real numbers.

Conclusion

The range of the function y = 0.5x + 1 is all real numbers.