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Popular >

f(h)=(sqrt(16+h)-4)/h

Solution

f (h) = \frac{16 + h - 4}{h}

Solution

Domain : - 16 \leq h < 0 or h > 0

Range : 0 < f (h) < \frac{1}{8} or \frac{1}{8} < f (h) \leq \frac{1}{4}

Intercepts : None

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (- 16, \frac{1}{4})

+1

Interval Notation

Domain : [- 16, 0) \cup (0, \infty)

Range : (0, \frac{1}{8}) \cup (\frac{1}{8}, \frac{1}{4}]

Solution steps

Domain of

\frac{16 + h - 4}{h} : - 16 \leq h < 0 or h > 0

Range of

\frac{16 + h - 4}{h} : 0 < f (h) < \frac{1}{8} or \frac{1}{8} < f (h) \leq \frac{1}{4}

Axis interception points of

\frac{16 + h - 4}{h} :

None

Asymptotes of

\frac{16 + h - 4}{h} :

Horizontal

: y = 0

Extreme Points of

\frac{16 + h - 4}{h} :

Maximum

(- 16, \frac{1}{4})

Popular Examples

y = - x^{3} - 3 x + 4

y = 3 sec (2 x)

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f (x) = - ln (x + 3)

f (x) = x^{3} + 5 x - 8

Frequently Asked Questions (FAQ)

What is the f(h)=(sqrt(16+h)-4)/h ?
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