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Popular >

f(x)=|x^2-5x+4|-|x^2-4|

Solution

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

Solution

Domain : - \infty < x < \infty

Range : - \infty < f (x) < \infty

X Intercepts : (0, 0), (\frac{8}{5}, 0), (\frac{5}{2}, 0), Y Intercepts : (0, 0)

Asymptotes : Slant y = - 5 x + 8

Extreme Points : Minimum (1, - 3), Maximum (2, 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{2} - 5 x + 4 - x^{2} - 4 : - \infty < x < \infty

Range of

x^{2} - 5 x + 4 - x^{2} - 4 : - \infty < f (x) < \infty

Axis interception points of

x^{2} - 5 x + 4 - x^{2} - 4 :

X Intercepts

: (0, 0), (\frac{8}{5}, 0), (\frac{5}{2}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{2} - 5 x + 4 - x^{2} - 4 :

Slant

: y = - 5 x + 8

Extreme Points of

x^{2} - 5 x + 4 - x^{2} - 4 :

Minimum

(1, - 3),

Maximum

(2, 2)

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=|x^2-5x+4|-|x^2-4| ?
The f(x)=|x^2-5x+4|-|x^2-4| is