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Popular >

f(p)= 3/2 (sqrt(p)-4)(4p-5)

Solution

f (p) = \frac{3}{2} (p - 4) (4 p - 5)

Solution

Domain : p \geq 0

Range : f (x) \geq \frac{- 79 79 - 152}{18}

X Intercepts : (16, 0), (\frac{5}{4}, 0), Y Intercepts : (0, 30)

Asymptotes : Horizontal y = \frac{3}{2} (p - 4) (4 p - 5)

Extreme Points : Maximum (0, 30), Minimum (\frac{143 + 16 79}{36}, \frac{- 79 79 - 152}{18})

+1

Interval Notation

Domain : [0, \infty)

Range : [\frac{- 79 79 - 152}{18}, \infty)

Solution steps

Domain of

\frac{3}{2} (p - 4) (4 p - 5) : p \geq 0

Range of

\frac{3}{2} (p - 4) (4 p - 5) : f (x) \geq \frac{- 79 79 - 152}{18}

Axis interception points of

\frac{3}{2} (p - 4) (4 p - 5) :

X Intercepts

: (16, 0), (\frac{5}{4}, 0),

Y Intercepts

: (0, 30)

Asymptotes of

\frac{3}{2} (p - 4) (4 p - 5) :

Horizontal

: y = \frac{3}{2} (p - 4) (4 p - 5)

Extreme Points of

\frac{3}{2} (p - 4) (4 p - 5) :

Maximum

(0, 30),

Minimum

(\frac{143 + 16 79}{36}, \frac{- 79 79 - 152}{18})

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Frequently Asked Questions (FAQ)

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