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Popular >

f(x)=1+x-4x^2

Solution

f (x) = 1 + x - 4 x^{2}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{17}{16}

X Intercepts : (- \frac{- 1 + 17}{8}, 0), (\frac{1 + 17}{8}, 0), Y Intercepts : (0, 1)

Vertex : Maximum (\frac{1}{8}, \frac{17}{16})

Inverse : - \frac{- 1 + - 16 x + 17}{8}, - \frac{- 1 - - 16 x + 17}{8}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{17}{16}]

Solution steps

Domain of

1 + x - 4 x^{2} : - \infty < x < \infty

Range of

1 + x - 4 x^{2} : f (x) \leq \frac{17}{16}

Axis interception points of

1 + x - 4 x^{2} :

X Intercepts

: (- \frac{- 1 + 17}{8}, 0), (\frac{1 + 17}{8}, 0),

Y Intercepts

: (0, 1)

Vertex of

1 + x - 4 x^{2} :

Maximum

(\frac{1}{8}, \frac{17}{16})

Inverse of

1 + x - 4 x^{2} : - \frac{- 1 + - 16 x + 17}{8}, - \frac{- 1 - - 16 x + 17}{8}

Popular Examples

f(x)=6x^5+13x^4-29x^3-43x^2-x-6

f (x) = 6 x^{5} + 13 x^{4} - 29 x^{3} - 43 x^{2} - x - 6

f(x)=3^{2x^2}sqrt(x)

f (x) = 3^{2 x^{2}} x

g(x)=-4x^2-x+6-(x-1)sin(x)-3e^x+3e^{4x}

g (x) = - 4 x^{2} - x + 6 - (x - 1) sin (x) - 3 e^{x} + 3 e^{4 x}

y = x^{3} + x^{2} - 6 x

f(x)=sqrt(x),0<= x<= 16

f (x) = x, 0 \leq x \leq 16

Frequently Asked Questions (FAQ)

What is the f(x)=1+x-4x^2 ?
The f(x)=1+x-4x^2 is