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Popular >

y=-1/2 x^2+2x+2.5

Solution

y = - \frac{1}{2} x^{2} + 2 x + 2.5

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{9}{2}

X Intercepts : (- 1, 0), (5, 0), Y Intercepts : (0, 2.5)

Vertex : Maximum (2, 4.5)

Inverse : 2 - - 2 x + 9, - 2 x + 9 + 2

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{9}{2}]

Solution steps

Domain of

- \frac{1}{2} x^{2} + 2 x + 2.5 : - \infty < x < \infty

Range of

- \frac{1}{2} x^{2} + 2 x + 2.5 : f (x) \leq \frac{9}{2}

Axis interception points of

- \frac{1}{2} x^{2} + 2 x + 2.5 :

X Intercepts

: (- 1, 0), (5, 0),

Y Intercepts

: (0, 2.5)

Vertex of

- \frac{1}{2} x^{2} + 2 x + 2.5 :

Maximum

(2, 4.5)

Inverse of

- \frac{1}{2} x^{2} + 2 x + 2.5 : 2 - - 2 x + 9, - 2 x + 9 + 2

Popular Examples

y=(4x^2-16x+8)^5

y = (4 x^{2} - 16 x + 8)^{5}

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f (x) = x - ∣ x ∣

f(x)=4x(x-4)(x+2)

f (x) = 4 x (x - 4) (x + 2)

x = sin (2 t)

f(x)=(1-4x)^{1/4}

f (x) = (1 - 4 x)^{\frac{1}{4}}

Frequently Asked Questions (FAQ)

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