What is the range of-5cos(x-pi/4)+2 ?

The range of-5cos(x-pi/4)+2 is -3<= f(x)<= 7

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range of-5cos(x-pi/4)+2

range

- 5 cos (x - \frac{π}{4}) + 2

- 3 \leq f (x) \leq 7

Solution steps

The range of the basic

cos

function is

- 1 \leq cos (x - \frac{π}{4}) \leq 1

- 1 \leq cos (x - \frac{π}{4}) \leq 1

Multiply the edges of the range by:

- 5

- 5 \leq - 5 cos (x - \frac{π}{4}) \leq 5

Add to the edges of the range:

2

- 3 \leq - 5 cos (x - \frac{π}{4}) + 2 \leq 7

Therefore the range is

- 3 \leq f (x) \leq 7

f (x) = \frac{x}{x + 6}

f (x) = 3^{x} - 1

f (x) = 8 x e^{x} csc (x)

y = 4 (x - 3) + 15

5 x - 2 y = 43

What is the range of-5cos(x-pi/4)+2 ?
The range of-5cos(x-pi/4)+2 is -3<= f(x)<= 7