## anonymous 4 years ago What is the domain and range of this function? y=-4((pi/4)x)-3

1. anonymous

Domain: (-inf,inf) Range: [-7,1]

2. anonymous

correct?

3. Mertsj

$y=-4((\frac{\pi}{4}x))-3$

4. anonymous

yes, that is the correct function.

5. Mertsj

If the domain is all real numbers, with which I agree, why is the range limited?

6. Mertsj

That simplifies to -pi(x)-3

7. anonymous

The range is limited because the amplitude is 4.

8. Mertsj

What are you talking about? pi is approximately 3.14 so the equation is y=-3.14x-3

9. Mertsj

A linear equation with slope -3.14 and y intercept -3

10. Mertsj

That's why I retyped the equation for verification. It made no sense to write it that way.

11. anonymous

Oh, i wrote down the wrong equation. My mistake.

12. anonymous

y=−4cos((π4x))−3

13. anonymous

Thanks for helping me catch that. Now will you agree that the range is correct and that the amplitude is 4?

14. Mertsj

The amplitude is 4. The range is -7 to 1

15. anonymous

Thanks