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

The range of f(x)=2cos(x)-2 is -4<= f(x)<= 0

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

range

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

- 4 \leq f (x) \leq 0

Interval Notation

[- 4, 0]

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:

2

- 2 \leq 2 cos (x) \leq 2

Add to the edges of the range:

- 2

- 4 \leq 2 cos (x) - 2 \leq 0

Therefore the range is

- 4 \leq f (x) \leq 0

f (x) = 7 - x + 3

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

\frac{2 + x}{x}

lo g_{3} (x + 2)

f (x) = \frac{7 x + 18}{2}

What is the range of f(x)=2cos(x)-2 ?
The range of f(x)=2cos(x)-2 is -4<= f(x)<= 0