What is the range of f(x)=sqrt(2x+3) ?

The range of f(x)=sqrt(2x+3) is f(x)>= 0

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range of f(x)=sqrt(2x+3)

range

f (x) = 2 x + 3

f (x) \geq 0

Interval Notation

[0, \infty)

Solution steps

The range of an radical function of the form

c a x + b + k

f (x) \geq k

k = 0

f (x) \geq 0

y = 2 x^{2}

(9, - 9), (- 6, - 7)

\frac{9}{8}

y = - 6 x - 7, (- 6, - 7)

f (x) = x^{4} + 4 x^{3} - 16 x + 3