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Popular >

f(x)=-x^2+4x-3,0<= x<= 4

Solution

f (x) = - x^{2} + 4 x - 3, 0 \leq x \leq 4

Solution

Domain : 0 \leq x \leq 4

Range : - 3 \leq f (x) \leq 1

X Intercepts : (1, 0), (3, 0), Y Intercepts : (0, - 3)

Vertex : Maximum (2, 1)

Inverse : 2 - - x + 1, - x + 1 + 2

+1

Interval Notation

Domain : [0, 4]

Range : [- 3, 1]

Solution steps

Domain of

- x^{2} + 4 x - 3, 0 \leq x \leq 4 : 0 \leq x \leq 4

Range of

- x^{2} + 4 x - 3, 0 \leq x \leq 4 : - 3 \leq f (x) \leq 1

Axis interception points of

- x^{2} + 4 x - 3, 0 \leq x \leq 4 :

X Intercepts

: (1, 0), (3, 0),

Y Intercepts

: (0, - 3)

Vertex of

- x^{2} + 4 x - 3, 0 \leq x \leq 4 :

Maximum

(2, 1)

Inverse of

- x^{2} + 4 x - 3, 0 \leq x \leq 4 : 2 - - x + 1, - x + 1 + 2

Popular Examples

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f (x) = \frac{x ^{3} + 7 x ^{2} + 14 x + 8}{x ^{2} + 6 x + 8}

f(x)=(sqrt(16384+x^4))/(2x)

f (x) = \frac{16384 + x ^{4}}{2 x}

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

f(x)=2x^3-5x^2+4x+3

f (x) = 2 x^{3} - 5 x^{2} + 4 x + 3

f(x)=(3x+1)/(3x)

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

Frequently Asked Questions (FAQ)

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