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Popular >

f(x)=sqrt(-x^2+x+2)

Solution

f (x) = - x^{2} + x + 2

Solution

Domain : - 1 \leq x \leq 2

Range : 0 \leq f (x) \leq \frac{3}{2}

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

Asymptotes : None

Extreme Points : Minimum (- 1, 0), Maximum (\frac{1}{2}, \frac{3}{2}), Minimum (2, 0)

+1

Interval Notation

Domain : [- 1, 2]

Range : [0, \frac{3}{2}]

Solution steps

Domain of

- x^{2} + x + 2 : - 1 \leq x \leq 2

Range of

- x^{2} + x + 2 : 0 \leq f (x) \leq \frac{3}{2}

Axis interception points of

- x^{2} + x + 2 :

X Intercepts

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

Y Intercepts

: (0, 2)

Asymptotes of

- x^{2} + x + 2 :

None

Extreme Points of

- x^{2} + x + 2 :

Minimum

(- 1, 0),

Maximum

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

Minimum

(2, 0)

Popular Examples

f(x)=tan(x/(1+x))

f (x) = tan (\frac{x}{1 + x})

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

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

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

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

f(m)=(m^2-1)/(\sqrt[3]{m)+1}

f(x)=(x-125)/(5-\sqrt[3]{x)}

Frequently Asked Questions (FAQ)

What is the f(x)=sqrt(-x^2+x+2) ?
The f(x)=sqrt(-x^2+x+2) is