What is the range of-4sin(-pi/3 x) ?

The range of-4sin(-pi/3 x) is -4<= f(x)<= 4

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range of-4sin(-pi/3 x)

range

- 4 sin (- \frac{π}{3} x)

- 4 \leq f (x) \leq 4

Interval Notation

[- 4, 4]

Solution steps

The range of the basic

sin

function is

- 1 \leq sin (- \frac{π}{3} x) \leq 1

- 1 \leq sin (- \frac{π}{3} x) \leq 1

Multiply the edges of the range by:

- 4

- 4 \leq - 4 sin (- \frac{π}{3} x) \leq 4

Therefore the range is

- 4 \leq f (x) \leq 4

y = x^{6} (x - 4)^{5}

f (x) = 300 - 10 x

- 3 2 x - 4 + 1

f (x) = 3 x

(7 - x)^{2}

What is the range of-4sin(-pi/3 x) ?
The range of-4sin(-pi/3 x) is -4<= f(x)<= 4