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Popular Functions >

f(x)=-|2x+1|+3

Solution

f (x) = - ∣ 2 x + 1 ∣ + 3

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 3

X Intercepts : (- 2, 0), (1, 0), Y Intercepts : (0, 2)

Asymptotes : Slant y = - 2 x + 2

Extreme Points : Maximum (- \frac{1}{2}, 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 3]

Solution steps

Domain of

- ∣ 2 x + 1 ∣ + 3 : - \infty < x < \infty

Range of

- ∣ 2 x + 1 ∣ + 3 : f (x) \leq 3

Axis interception points of

- ∣ 2 x + 1 ∣ + 3 :

X Intercepts

: (- 2, 0), (1, 0),

Y Intercepts

: (0, 2)

Asymptotes of

- ∣ 2 x + 1 ∣ + 3 :

Slant

: y = - 2 x + 2

Extreme Points of

- ∣ 2 x + 1 ∣ + 3 :

Maximum

(- \frac{1}{2}, 3)

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=-|2x+1|+3 ?
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