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Popular Functions >

f(x)=3x^2-4|x^2-1|+x-1

Solution

f (x) = 3 x^{2} - 4 x^{2} - 1 + x - 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 3

X Intercepts : (- \frac{- 1 + 13}{2}, 0), (\frac{- 1 - 141}{14}, 0), (\frac{- 1 + 141}{14}, 0), (\frac{1 + 13}{2}, 0), Y Intercepts : (0, - 5)

Asymptotes : None

Extreme Points : Maximum (- 1, 1), Minimum (- \frac{1}{14}, - \frac{141}{28}), Maximum (1, 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 3]

Solution steps

Domain of

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

Range of

3 x^{2} - 4 x^{2} - 1 + x - 1 : f (x) \leq 3

Axis interception points of

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

X Intercepts

: (- \frac{- 1 + 13}{2}, 0), (\frac{- 1 - 141}{14}, 0), (\frac{- 1 + 141}{14}, 0), (\frac{1 + 13}{2}, 0),

Y Intercepts

: (0, - 5)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(- 1, 1),

Minimum

(- \frac{1}{14}, - \frac{141}{28}),

Maximum

(1, 3)

Graph

Popular Examples

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

f(x)= 3/((2x+1))

Frequently Asked Questions (FAQ)

What is the f(x)=3x^2-4|x^2-1|+x-1 ?
The f(x)=3x^2-4|x^2-1|+x-1 is