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Popular >

f(x)=-7x^2+2x+1

Solution

f (x) = - 7 x^{2} + 2 x + 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{8}{7}

X Intercepts : (- \frac{- 1 + 2 2}{7}, 0), (\frac{1 + 2 2}{7}, 0), Y Intercepts : (0, 1)

Vertex : Maximum (\frac{1}{7}, \frac{8}{7})

Inverse : - \frac{- 1 + - 7 x + 8}{7}, \frac{- 7 x + 8 + 1}{7}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{8}{7}]

Solution steps

Domain of

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

Range of

- 7 x^{2} + 2 x + 1 : f (x) \leq \frac{8}{7}

Axis interception points of

- 7 x^{2} + 2 x + 1 :

X Intercepts

: (- \frac{- 1 + 2 2}{7}, 0), (\frac{1 + 2 2}{7}, 0),

Y Intercepts

: (0, 1)

Vertex of

- 7 x^{2} + 2 x + 1 :

Maximum

(\frac{1}{7}, \frac{8}{7})

Inverse of

- 7 x^{2} + 2 x + 1 : - \frac{- 1 + - 7 x + 8}{7}, \frac{- 7 x + 8 + 1}{7}

Popular Examples

g(x)=(x-7)/(x^2-49)

g (x) = \frac{x - 7}{x ^{2} - 49}

f(x)=(x(x+1))/x

f (x) = \frac{x ( x + 1 )}{x}

f(x)=x^5+8x^4-6x^3-92x^2+5x+84

f (x) = x^{5} + 8 x^{4} - 6 x^{3} - 92 x^{2} + 5 x + 84

f(x)=x-sqrt(x)-2

f (x) = x - x - 2

y=(x^3)/6+1/(2x), 1/2 <= x<= 1

y = \frac{x ^{3}}{6} + \frac{1}{2 x}, \frac{1}{2} \leq x \leq 1

Frequently Asked Questions (FAQ)

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