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Popular >

f(x)=(5x^2-1)(5x^2+1)

Solution

f (x) = (5 x^{2} - 1) (5 x^{2} + 1)

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 1

X Intercepts : (- \frac{1}{5}, 0), (\frac{1}{5}, 0), Y Intercepts : (0, - 1)

Asymptotes : None

Extreme Points : Minimum (0, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, \infty)

Solution steps

Domain of

(5 x^{2} - 1) (5 x^{2} + 1) : - \infty < x < \infty

Range of

(5 x^{2} - 1) (5 x^{2} + 1) : f (x) \geq - 1

Axis interception points of

(5 x^{2} - 1) (5 x^{2} + 1) :

X Intercepts

: (- \frac{1}{5}, 0), (\frac{1}{5}, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

(5 x^{2} - 1) (5 x^{2} + 1) :

None

Extreme Points of

(5 x^{2} - 1) (5 x^{2} + 1) :

Minimum

(0, - 1)

Popular Examples

y = - \frac{4}{x}

f (x) = x^{2} - 6 x - 40

f(x)=-20(x-6)^{12}(x-2)^7

f (x) = - 20 (x - 6)^{12} (x - 2)^{7}

f(x)=sqrt(3-x)-sqrt(x^2-1)

f (x) = 3 - x - x^{2} - 1

f (x) = - x^{9}

Frequently Asked Questions (FAQ)

What is the f(x)=(5x^2-1)(5x^2+1) ?
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