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Popular >

f(x)=|-x+4|-1

Solution

f (x) = ∣ - x + 4 ∣ - 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 1

X Intercepts : (3, 0), (5, 0), Y Intercepts : (0, 3)

Asymptotes : Slant y = x - 5

Extreme Points : Minimum (4, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, \infty)

Solution steps

Domain of

∣ - x + 4 ∣ - 1 : - \infty < x < \infty

Range of

∣ - x + 4 ∣ - 1 : f (x) \geq - 1

Axis interception points of

∣ - x + 4 ∣ - 1 :

X Intercepts

: (3, 0), (5, 0),

Y Intercepts

: (0, 3)

Asymptotes of

∣ - x + 4 ∣ - 1 :

Slant

: y = x - 5

Extreme Points of

∣ - x + 4 ∣ - 1 :

Minimum

(4, - 1)

Popular Examples

f(x)=xcos(x)+3x^2-4x+7

f (x) = x cos (x) + 3 x^{2} - 4 x + 7

f(t)=cos(5t)+sin(2t)

f (t) = cos (5 t) + sin (2 t)

y=-x^6-6x^5+50x^3+45x^2-108x-108

y = - x^{6} - 6 x^{5} + 50 x^{3} + 45 x^{2} - 108 x - 108

y=(x^2+2)(x^3+1)

y = (x^{2} + 2) (x^{3} + 1)

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

Frequently Asked Questions (FAQ)

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