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Popular >

f(t)=-16t^2+64t+3

Solution

f (t) = - 16 t^{2} + 64 t + 3

Solution

Domain : - \infty < t < \infty

Range : f (t) \leq 67

X Intercepts : (- \frac{- 8 + 67}{4}, 0), (\frac{8 + 67}{4}, 0), Y Intercepts : (0, 3)

Vertex : Maximum (2, 67)

Inverse : - \frac{- 8 + - t + 67}{4}, \frac{- t + 67 + 8}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 67]

Solution steps

Domain of

- 16 t^{2} + 64 t + 3 : - \infty < t < \infty

Range of

- 16 t^{2} + 64 t + 3 : f (t) \leq 67

Axis interception points of

- 16 t^{2} + 64 t + 3 :

X Intercepts

: (- \frac{- 8 + 67}{4}, 0), (\frac{8 + 67}{4}, 0),

Y Intercepts

: (0, 3)

Vertex of

- 16 t^{2} + 64 t + 3 :

Maximum

(2, 67)

Inverse of

- 16 t^{2} + 64 t + 3 : - \frac{- 8 + - t + 67}{4}, \frac{- t + 67 + 8}{4}

Popular Examples

f(x)=2x+1,-2<= x<= 5

f (x) = 2 x + 1, - 2 \leq x \leq 5

g(x)=4x^2-28x+49

g (x) = 4 x^{2} - 28 x + 49

y = \frac{1}{6 x + 4}

f (x) = (x) (e^{x})

f (- 4) = - 3 x + 8

Frequently Asked Questions (FAQ)

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