What is the f(x)=sqrt(x+34/4) ?

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f(x)=sqrt(x+34/4)

f (x) = x + \frac{34}{4}

Domain : x \geq - \frac{17}{2}

Range : f (x) \geq 0

X Intercepts : (- \frac{17}{2}, 0), Y Intercepts : (0, \frac{17}{2})

Asymptotes : None

Extreme Points : Minimum (- \frac{17}{2}, 0)

Interval Notation

Domain : [- \frac{17}{2}, \infty)

Range : [0, \infty)

Solution steps

Domain of

x + \frac{34}{4} : x \geq - \frac{17}{2}

Range of

x + \frac{34}{4} : f (x) \geq 0

Axis interception points of

x + \frac{34}{4} :

X Intercepts

: (- \frac{17}{2}, 0),

Y Intercepts

: (0, \frac{17}{2})

Asymptotes of

x + \frac{34}{4} :

None

Extreme Points of

x + \frac{34}{4} :

Minimum

(- \frac{17}{2}, 0)

f (x) = \frac{x ^{2} + 4 x + 4}{x ^{2} + 3 x + 2}

f (x) = x^{3} + 2 x - 8 + 4 x^{2}

f (x) = \frac{x ^{4} - 5 x + 7}{x ^{2} + 1}

f (x) = 4 sin^{2} (x) cos^{2} (x)

f (x) = \frac{4 x ^{2} + 4}{2 x ^{2} - 8}