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Popular >

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}

Popular Examples

f (x) = \frac{x ^{3} + 8}{x}

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

f (x) = \frac{x ^{4} + 4 x ^{3} + 3 x ^{2}}{x ^{2} + 4 x + 3}

y = e^{x} - e

f(x)=-2.2x^2+396x-400

f (x) = - 2.2 x^{2} + 396 x - 400

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

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

Frequently Asked Questions (FAQ)

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