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Popular >

f(x)=-3|x+3|+5

Solution

f (x) = - 3 ∣ x + 3 ∣ + 5

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 5

X Intercepts : (- \frac{14}{3}, 0), (- \frac{4}{3}, 0), Y Intercepts : (0, - 4)

Asymptotes : Slant y = - 3 x - 4

Extreme Points : Maximum (- 3, 5)

+1

Solution steps

Domain of

- 3 ∣ x + 3 ∣ + 5 : - \infty < x < \infty

Range of

- 3 ∣ x + 3 ∣ + 5 : f (x) \leq 5

Axis interception points of

- 3 ∣ x + 3 ∣ + 5 :

X Intercepts

: (- \frac{14}{3}, 0), (- \frac{4}{3}, 0),

Y Intercepts

: (0, - 4)

Asymptotes of

- 3 ∣ x + 3 ∣ + 5 :

Slant

: y = - 3 x - 4

Extreme Points of

- 3 ∣ x + 3 ∣ + 5 :

Maximum

(- 3, 5)

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