What is the range of 4x^4-14 ?

The range of 4x^4-14 is f(x)>=-14

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range of 4x^4-14

range

4 x^{4} - 14

f (x) \geq - 14

Interval Notation

[- 14, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

4 x^{4} - 14

Inverse of

4 x^{4} - 14 : 4 \frac{x + 14}{4}, - 4 \frac{x + 14}{4}

4 \frac{x + 14}{4}, - 4 \frac{x + 14}{4}

Find the domain of each inverse function

Domain of

4 \frac{x + 14}{4} : x \geq - 14

Domain of

- 4 \frac{x + 14}{4} : x \geq - 14

Combine the intervals

f (x) \geq - 14

e x t re m e x^{3} e^{3 x}

in t erce pt s x^{3} - x

in v erse f (x) = \frac{1}{2} (x - 4)^{3}

d o main 2 x - x^{2}

d o main f (x) = 5 - 2 x^{2}