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Popular Functions >

f(t)=-4t^2+16t+9

Solution

f (t) = - 4 t^{2} + 16 t + 9

Solution

Domain : - \infty < t < \infty

Range : f (t) \leq 25

X Intercepts : (- \frac{1}{2}, 0), (\frac{9}{2}, 0), Y Intercepts : (0, 9)

Vertex : Maximum (2, 25)

Inverse : - \frac{- 4 + - t + 25}{2}, \frac{- t + 25 + 4}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 25]

Solution steps

Domain of

- 4 t^{2} + 16 t + 9 : - \infty < t < \infty

Range of

- 4 t^{2} + 16 t + 9 : f (t) \leq 25

Axis interception points of

- 4 t^{2} + 16 t + 9 :

X Intercepts

: (- \frac{1}{2}, 0), (\frac{9}{2}, 0),

Y Intercepts

: (0, 9)

Vertex of

- 4 t^{2} + 16 t + 9 :

Maximum

(2, 25)

Inverse of

- 4 t^{2} + 16 t + 9 : - \frac{- 4 + - t + 25}{2}, \frac{- t + 25 + 4}{2}

Graph

Popular Examples

f(x)=sqrt((x^4+4x^3+3x^2)/(x^2+4x+3))

h(t)=16t^2+16t-sin(3t)

Frequently Asked Questions (FAQ)

What is the f(t)=-4t^2+16t+9 ?
The f(t)=-4t^2+16t+9 is