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Popular >

range of f(x)=x^2+3x-4

Solution

range

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

Solution

f (x) \geq - \frac{25}{4}

+1

Solution steps

Vertex of

x^{2} + 3 x - 4 :

Minimum

(- \frac{3}{2}, - \frac{25}{4})

For a parabola

a x^{2} + b x + c

with Vertex

(x_{v}, y_{v})

If

a < 0

the range is

f (x) \leq y_{v}

If

a > 0

the range is

f (x) \geq y_{v}

a = 1,

Vertex

(x_{v}, y_{v}) = (- \frac{3}{2}, - \frac{25}{4})

f (x) \geq - \frac{25}{4}

Popular Examples

inverse of 9/(x+6)inverse

\frac{9}{x + 6}

domain of 7+(8+x)^{1/2}domain

7 + (8 + x)^{\frac{1}{2}}

range of f(x)=2^x-3 range

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

inflection (x^3)/3-(x^2)/2 inflection points

\frac{x ^{3}}{3} - \frac{x ^{2}}{2}

domain of-1/(x+2)domain

- \frac{1}{x + 2}

Frequently Asked Questions (FAQ)

What is the range of f(x)=x^2+3x-4 ?
The range of f(x)=x^2+3x-4 is f(x)>=-25/4