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Popular >

f(x)=-1/2 (x-4)^2+3

Solution

f (x) = - \frac{1}{2} (x - 4)^{2} + 3

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 3

X Intercepts : (6 + 4, 0), (- 6 + 4, 0), Y Intercepts : (0, - 5)

Vertex : Maximum (4, 3)

Inverse : - 2 x + 6 + 4, - - 2 x + 6 + 4

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 3]

Solution steps

Domain of

- \frac{1}{2} (x - 4)^{2} + 3 : - \infty < x < \infty

Range of

- \frac{1}{2} (x - 4)^{2} + 3 : f (x) \leq 3

Axis interception points of

- \frac{1}{2} (x - 4)^{2} + 3 :

X Intercepts

: (6 + 4, 0), (- 6 + 4, 0),

Y Intercepts

: (0, - 5)

Vertex of

- \frac{1}{2} (x - 4)^{2} + 3 :

Maximum

(4, 3)

Inverse of

- \frac{1}{2} (x - 4)^{2} + 3 : - 2 x + 6 + 4, - - 2 x + 6 + 4

Popular Examples

f(x)=(x^3+x-1)/2

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

f(x)=(sqrt(x)-7)/(x-49)

f (x) = \frac{x - 7}{x - 49}

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y (θ) = \frac{π}{2} sin (θ) - cos (θ)

y = tan (x - \frac{π}{2})

f(x)=arccos(sqrt(1-x^2))

f (x) = arccos (1 - x^{2})

Frequently Asked Questions (FAQ)

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