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Popular >

y=(-3x^2+1)^5

Solution

y = (- 3 x^{2} + 1)^{5}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 1

X Intercepts : (\frac{1}{3}, 0), (- \frac{1}{3}, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Saddle (- \frac{1}{3}, 0), Maximum (0, 1), Saddle (\frac{1}{3}, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 1]

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (\frac{1}{3}, 0), (- \frac{1}{3}, 0),

Y Intercepts

: (0, 1)

Asymptotes of

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

None

Extreme Points of

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

Saddle

(- \frac{1}{3}, 0),

Maximum

(0, 1),

Saddle

(\frac{1}{3}, 0)

Popular Examples

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

y = x^{2} + 18 x + 81

f(x)=x^4-18x^2+81

f (x) = x^{4} - 18 x^{2} + 81

f(b)= 1/(b^{2/7)}

f (b) = \frac{1}{b ^{\frac{2}{7}}}

f(x)= 1/(2+x^2)

f (x) = \frac{1}{2 + x ^{2}}

Frequently Asked Questions (FAQ)

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