What is the range of 2cos(x) ?

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

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range of 2cos(x)

range

2 cos (x)

- 2 \leq f (x) \leq 2

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

Therefore the range is

- 2 \leq f (x) \leq 2

\frac{9}{4} x - 5

f (x) = 2 (\frac{4}{5})^{x}

(3, 6), (- 4, - 1)

3 x + 10

\frac{2 x + 7}{x - 8}