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Popular Functions >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{61}{12}

X Intercepts : (- \frac{1 + 61}{6}, 0), (\frac{61 - 1}{6}, 0), Y Intercepts : (0, 5)

Vertex : Maximum (- \frac{1}{6}, \frac{61}{12})

Inverse : - \frac{1 + - 12 x + 61}{6}, - \frac{1 - - 12 x + 61}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{61}{12}]

Solution steps

Domain of

- 3 x^{2} - x + 5 : - \infty < x < \infty

Range of

- 3 x^{2} - x + 5 : f (x) \leq \frac{61}{12}

Axis interception points of

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

X Intercepts

: (- \frac{1 + 61}{6}, 0), (\frac{61 - 1}{6}, 0),

Y Intercepts

: (0, 5)

Vertex of

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

Maximum

(- \frac{1}{6}, \frac{61}{12})

Inverse of

- 3 x^{2} - x + 5 : - \frac{1 + - 12 x + 61}{6}, - \frac{1 - - 12 x + 61}{6}

Graph

Popular Examples

f(x)=(sin(2x))/((1+sin^2(x)))

f(x)=(x^2+2x)/1+(3x-3x^2)/(3x+1)

f(x)= 5/(x+0.16x^2)

f(x)=tan^2(x-1)

Frequently Asked Questions (FAQ)

What is the f(x)=-3x^2-x+5 ?
The f(x)=-3x^2-x+5 is