Question

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

Answer 1

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

Answer 2

correct?

Answer 3

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

Answer 4

yes, that is the correct function.

Answer 5

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

Answer 6

That simplifies to -pi(x)-3

Answer 7

The range is limited because the amplitude is 4.

Answer 8

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

Answer 9

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

Answer 10

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

Answer 11

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

Answer 12

y=−4cos((π4x))−3

Answer 13

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

Answer 14

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

Answer 15

Thanks