Find the Domain and Range y=-5x+1

Problem

y=−5*x+1

Solution

1. Identify the type of function. The equation y=−5*x+1 is a linear function of the form y=m*x+b

2. Determine the domain. For any linear function that is not a vertical line, the input x can be any real number because there are no denominators, square roots, or logarithms to restrict the values.

3. Express the domain in interval notation. The domain is (−∞,∞)

4. Determine the range. Since the slope m=−5 is non-zero, the function is a slanted line that extends infinitely in both the positive and negative vertical directions.

5. Express the range in interval notation. The range is (−∞,∞)

Final Answer

Domain: *(−∞,∞), Range: *(−∞,∞)

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