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Popular >

f(x)=-3x^2-12x-5

Solution

f (x) = - 3 x^{2} - 12 x - 5

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 7

X Intercepts : (- \frac{6 + 21}{3}, 0), (- \frac{6 - 21}{3}, 0), Y Intercepts : (0, - 5)

Vertex : Maximum (- 2, 7)

Inverse : - \frac{12 + - 12 x + 84}{6}, - \frac{12 - - 12 x + 84}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 7]

Solution steps

Domain of

- 3 x^{2} - 12 x - 5 : - \infty < x < \infty

Range of

- 3 x^{2} - 12 x - 5 : f (x) \leq 7

Axis interception points of

- 3 x^{2} - 12 x - 5 :

X Intercepts

: (- \frac{6 + 21}{3}, 0), (- \frac{6 - 21}{3}, 0),

Y Intercepts

: (0, - 5)

Vertex of

- 3 x^{2} - 12 x - 5 :

Maximum

(- 2, 7)

Inverse of

- 3 x^{2} - 12 x - 5 : - \frac{12 + - 12 x + 84}{6}, - \frac{12 - - 12 x + 84}{6}

Popular Examples

f(x)=4+2|3x-10|

f (x) = 4 + 2 ∣ 3 x - 10 ∣

f(θ)=(sin(4θ))/(1+cos(4θ))

f (θ) = \frac{sin ( 4 θ )}{1 + cos ( 4 θ )}

y=sqrt(x)+sqrt(4-x)

y = x + 4 - x

f(x)= 1/(x^2sqrt(x^2-1))

f (x) = \frac{1}{x ^{2} x ^{2} - 1}

y=-2cos(1/6 x)-5

y = - 2 cos (\frac{1}{6} x) - 5

Frequently Asked Questions (FAQ)

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