What is the range of f(x)=3cos(x)-2 ?

The range of f(x)=3cos(x)-2 is -5<= f(x)<= 1

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range of f(x)=3cos(x)-2

range

f (x) = 3 cos (x) - 2

- 5 \leq f (x) \leq 1

Interval Notation

[- 5, 1]

Solution steps

The range of the basic

cos

function is

- 1 \leq cos (x) \leq 1

- 1 \leq cos (x) \leq 1

Multiply the edges of the range by:

3

- 3 \leq 3 cos (x) \leq 3

Add to the edges of the range:

- 2

- 5 \leq 3 cos (x) - 2 \leq 1

Therefore the range is

- 5 \leq f (x) \leq 1

g (x) = x^{2} ∣ x ∣ + 5

f (x) = \frac{2 x + 1}{x - 5}

(- 1, 1), (- 8, - 4)

f (x) = \frac{x}{x ^{2} + x - 2}

f (x) = e^{(x)} (2 x^{2} + x - 8)

What is the range of f(x)=3cos(x)-2 ?
The range of f(x)=3cos(x)-2 is -5<= f(x)<= 1