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Popular >

f(x)=|x-5|

Solution

f (x) = ∣ x - 5 ∣

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 0

X Intercepts : (5, 0), Y Intercepts : (0, 5)

Asymptotes : Slant y = x - 5

Extreme Points : Minimum (5, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

∣ x - 5 ∣ : - \infty < x < \infty

Range of

∣ x - 5 ∣ : f (x) \geq 0

Axis interception points of

∣ x - 5 ∣ :

X Intercepts

: (5, 0),

Y Intercepts

: (0, 5)

Asymptotes of

∣ x - 5 ∣ :

Slant

: y = x - 5

Extreme Points of

∣ x - 5 ∣ :

Minimum

(5, 0)

Popular Examples

domain of 1/(sqrt(x-12))domain

\frac{1}{x - 12}

domain of y=ln(x)domain

y = ln (x)

domain of-1/2 x^2-5x-15/2 domain

- \frac{1}{2} x^{2} - 5 x - \frac{15}{2}

inverse of f(x)=\sqrt[3]{4-x}+2 inverse

inverse of f(x)=sqrt(x^2-25),x>= 5 inverse

f (x) = x^{2} - 25, x \geq 5

Frequently Asked Questions (FAQ)

What is the f(x)=|x-5| ?
The f(x)=|x-5| is