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Popular >

range of-x^2-2x+3

Solution

range

- x^{2} - 2 x + 3

Solution

f (x) \leq 4

+1

Interval Notation

(- \infty, 4]

Solution steps

Vertex of

- x^{2} - 2 x + 3 :

Maximum

(- 1, 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}) = (- 1, 4)

f (x) \leq 4

Popular Examples

extreme 4x(x^2-9)extreme points

4 x (x^{2} - 9)

inverse of y=(1/2)^{4-3x}-7 inverse

y = (\frac{1}{2})^{4 - 3 x} - 7

domain of f(t)=(4-t^2)/(2-t)domain

f (t) = \frac{4 - t ^{2}}{2 - t}

range of-3/2 sin(2x-(3pi)/4)+7/3 range

- \frac{3}{2} sin (2 x - \frac{3 π}{4}) + \frac{7}{3}

intercepts of f(x)=(0,-5)(5,0)intercepts

f (x) = (0, - 5) (5, 0)

Frequently Asked Questions (FAQ)

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