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Popular >

f(x)=sqrt(5-4x^2)

Solution

f (x) = 5 - 4 x^{2}

Solution

Domain : - \frac{5}{2} \leq x \leq \frac{5}{2}

Range : 0 \leq f (x) \leq 5

X Intercepts : (\frac{5}{2}, 0), (- \frac{5}{2}, 0), Y Intercepts : (0, 5)

Asymptotes : None

Extreme Points : Minimum (- \frac{5}{2}, 0), Maximum (0, 5), Minimum (\frac{5}{2}, 0)

+1

Interval Notation

Domain : [- \frac{5}{2}, \frac{5}{2}]

Range : [0, 5]

Solution steps

Domain of

5 - 4 x^{2} : - \frac{5}{2} \leq x \leq \frac{5}{2}

Range of

5 - 4 x^{2} : 0 \leq f (x) \leq 5

Axis interception points of

5 - 4 x^{2} :

X Intercepts

: (\frac{5}{2}, 0), (- \frac{5}{2}, 0),

Y Intercepts

: (0, 5)

Asymptotes of

5 - 4 x^{2} :

None

Extreme Points of

5 - 4 x^{2} :

Minimum

(- \frac{5}{2}, 0),

Maximum

(0, 5),

Minimum

(\frac{5}{2}, 0)

Graph

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Frequently Asked Questions (FAQ)

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