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Popular >

f(x)=3|x-7|+2|x-2|

Solution

f (x) = 3 ∣ x - 7 ∣ + 2 ∣ x - 2 ∣

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 10

Y Intercepts : (0, 25)

Asymptotes : Slant y = 5 x - 25

Extreme Points : Minimum (7, 10)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [10, \infty)

Solution steps

Domain of

3 ∣ x - 7 ∣ + 2 ∣ x - 2 ∣ : - \infty < x < \infty

Range of

3 ∣ x - 7 ∣ + 2 ∣ x - 2 ∣ : f (x) \geq 10

Axis interception points of

3 ∣ x - 7 ∣ + 2 ∣ x - 2 ∣ :

Y Intercepts

: (0, 25)

Asymptotes of

3 ∣ x - 7 ∣ + 2 ∣ x - 2 ∣ :

Slant

: y = 5 x - 25

Extreme Points of

3 ∣ x - 7 ∣ + 2 ∣ x - 2 ∣ :

Minimum

(7, 10)

Popular Examples

y=((x^4+x^2))/((3x-9))

y = \frac{( x ^{4} + x ^{2} )}{( 3 x - 9 )}

f(x)=sin((5x)/6)

f (x) = sin (\frac{5 x}{6})

f (x) = 7 x^{2} + x + 5

f(n)=3n^4+nlog_{2}(n)

f (n) = 3 n^{4} + n lo g_{2} (n)

f(x)=3(x+5)^{1/2}

f (x) = 3 (x + 5)^{\frac{1}{2}}

Frequently Asked Questions (FAQ)

What is the f(x)=3|x-7|+2|x-2| ?
The f(x)=3|x-7|+2|x-2| is