Question

What is the range of y=−x2−6x+1?

Answer 1

Answer:

All real numbers / (-∞, ∞) / R

Step-by-step explanation:

The equasion provided is a linear equasion meaning it can be written in the y=ax+b format, where both a and b are real numbers. All linear eqasions have a range of all real numbers, you can write this using the three solutions provided.

You can solve this two ways, number one would be to put this in a graphing calculator and number two would be reducing the equasion to the y=ax+b format.

Method 1:

look at image provided. The app is PhotoMath.

Method 2:

Write the equasion:

y = -2x - 6x + 1

Collect like terms:

y = -8x + 1

This now proves that the equasion is linear becuase you can write it in the y=ax+b format. a being -8 and b being 1.