Find the domain and range of the function f(x)=-5 cos^2x

domain:   (-∞, ∞) ; range: [-5, 0]

Step-by-step explanation:

Let's begin with the basics:

The domain of cos x is (-∞, ∞); the range is [-1, 1].

The domain of cos²x is still (-∞, ∞).

Likewise, the domain of -5 cos²x is(-∞, ∞).

The range of cos²x differs: it is [0, 1] because squaring a negative number results in a positive output.

Multiplying cos²x by 5 expands the range to [0, 5].

Finally, multiplying 5 cos²x by -1 changes the range to [-5, 0].

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

a framing bias

step-by-step explanation:

rodrigo is subject to a framing bias i believe.