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 expression (1.26)2t reveals the approximate rate of increases in the number of plants semiannually.

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