en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=-x^4+x^2+1

Solution

f (x) = - x^{4} + x^{2} + 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{5}{4}

X Intercepts : \frac{1 + 5}{2}, 0, - \frac{1 + 5}{2}, 0, Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Maximum (- \frac{1}{2}, \frac{5}{4}), Minimum (0, 1), Maximum (\frac{1}{2}, \frac{5}{4})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{5}{4}]

Solution steps

Domain of

- x^{4} + x^{2} + 1 : - \infty < x < \infty

Range of

- x^{4} + x^{2} + 1 : f (x) \leq \frac{5}{4}

Axis interception points of

- x^{4} + x^{2} + 1 :

X Intercepts

: \frac{1 + 5}{2}, 0, - \frac{1 + 5}{2}, 0,

Y Intercepts

: (0, 1)

Asymptotes of

- x^{4} + x^{2} + 1 :

None

Extreme Points of

- x^{4} + x^{2} + 1 :

Maximum

(- \frac{1}{2}, \frac{5}{4}),

Minimum

(0, 1),

Maximum

(\frac{1}{2}, \frac{5}{4})

Popular Examples

f (3) = 2 x + 1

f(x)=2(x-3)*(x+1)

f (x) = 2 (x - 3) \cdot (x + 1)

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

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

f(x)=|8x+3|-|3x-7|

f (x) = ∣ 8 x + 3 ∣ - ∣ 3 x - 7 ∣

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

Frequently Asked Questions (FAQ)

What is the f(x)=-x^4+x^2+1 ?
The f(x)=-x^4+x^2+1 is