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Popular >

range of x^2+3x-4

Solution

range

x^{2} + 3 x - 4

Solution

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

+1

Interval Notation

[- \frac{25}{4}, \infty)

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

domain of f(x)=log_{2}(x^4-3x^2)domain

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

parallel x-4y=12 parallel

x - 4 y = 12

amplitude of-3sin(pix+2)amplitude

- 3 sin (π x + 2)

range of x+6 range

x + 6

inverse of y=(4x-5)/3 inverse

y = \frac{4 x - 5}{3}

Frequently Asked Questions (FAQ)

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