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Popular >

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

Solution

f (x) = ∣ x - 2 ∣ + 5

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 5

Y Intercepts : (0, 7)

Asymptotes : Slant y = x + 3

Extreme Points : Minimum (2, 5)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [5, \infty)

Solution steps

Domain of

∣ x - 2 ∣ + 5 : - \infty < x < \infty

Range of

∣ x - 2 ∣ + 5 : f (x) \geq 5

Axis interception points of

∣ x - 2 ∣ + 5 :

Y Intercepts

: (0, 7)

Asymptotes of

∣ x - 2 ∣ + 5 :

Slant

: y = x + 3

Extreme Points of

∣ x - 2 ∣ + 5 :

Minimum

(2, 5)

Popular Examples

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

y = \frac{1 - x ^{2}}{x + 2}

f (x) = 3 \cdot sin (x)

y = ln (2 x + 5)

f(x)=sin(cos(x/2))+cos(sin(x/2))

f (x) = sin (cos (\frac{x}{2})) + cos (sin (\frac{x}{2}))

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

f (x) = \frac{2}{x - 3} + 2

Frequently Asked Questions (FAQ)

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