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Popular >

range of-3x^2-2x+5

Solution

range

- 3 x^{2} - 2 x + 5

Solution

f (x) \leq \frac{16}{3}

+1

Interval Notation

(- \infty, \frac{16}{3}]

Solution steps

Vertex of

- 3 x^{2} - 2 x + 5 :

Maximum

(- \frac{1}{3}, \frac{16}{3})

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 = - 3,

Vertex

(x_{v}, y_{v}) = (- \frac{1}{3}, \frac{16}{3})

f (x) \leq \frac{16}{3}

Popular Examples

parity f(s)=1+((c+16s))/(c+s)*9/(s^2)parity

f (s) = 1 + \frac{( c + 16 s )}{c + s} \cdot \frac{9}{s ^{2}}

inverse of (5x)/(2x+3)inverse

\frac{5 x}{2 x + 3}

domain of f(x)=sqrt(x^2+2x+5)domain

f (x) = x^{2} + 2 x + 5

intercepts of f(x)=(x-5)/(x+8)intercepts

f (x) = \frac{x - 5}{x + 8}

domain of |x-2|domain

∣ x - 2 ∣

Frequently Asked Questions (FAQ)

What is the range of-3x^2-2x+5 ?
The range of-3x^2-2x+5 is f(x)<= 16/3