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Popular >

y=-2x^2-x+3

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{25}{8}

X Intercepts : (- \frac{3}{2}, 0), (1, 0), Y Intercepts : (0, 3)

Vertex : Maximum (- \frac{1}{4}, \frac{25}{8})

Inverse : - \frac{1 + - 8 x + 25}{4}, - \frac{1 - - 8 x + 25}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{25}{8}]

Solution steps

Domain of

- 2 x^{2} - x + 3 : - \infty < x < \infty

Range of

- 2 x^{2} - x + 3 : f (x) \leq \frac{25}{8}

Axis interception points of

- 2 x^{2} - x + 3 :

X Intercepts

: (- \frac{3}{2}, 0), (1, 0),

Y Intercepts

: (0, 3)

Vertex of

- 2 x^{2} - x + 3 :

Maximum

(- \frac{1}{4}, \frac{25}{8})

Inverse of

- 2 x^{2} - x + 3 : - \frac{1 + - 8 x + 25}{4}, - \frac{1 - - 8 x + 25}{4}

Popular Examples

f(x)=4cos^2(x)+2cos(x)=2,0<= x<= 2pi

f (x) = 4 cos^{2} (x) + 2 cos (x) = 2, 0 \leq x \leq 2 π

f (x) = 3 x^{2} + 4 x - 8

f (x) = π sin (x)

f(t)=(sqrt(t^2+9)-3)/(t^2)

f (t) = \frac{t ^{2} + 9 - 3}{t ^{2}}

y=tan(3x)csc(3x)

y = tan (3 x) csc (3 x)

Frequently Asked Questions (FAQ)

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