Exercise 7 Page 293

Where does the graph exist?

Domain: All real numbers.
Range: y≤ 0

Practice makes perfect

The arrows on the graph indicate that the function will continue on forever in the downward direction. This also tells us that there are no gaps in the function, and that we can input any real number for x.

Therefore, we can write our domain as an interval that contains all real numbers. Domain: - ∞ < x < ∞ The corresponding y-coordinates, on the other hand, have an upper bound at 0 because the graph does not exist above this point on the y-axis. Therefore, the range of the function is all possible y-values less than or equal to 0. Range: y≤ 0

Subchapter links

Exercises p.293

Exercise 7 Page 293

Hints

Check the answer

Practice exercises

Asses your skill