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Popular >

y=1.5(x-0.5)^2-1

Solution

y = 1.5 (x - 0.5)^{2} - 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 1

X Intercepts : (1.31649 \dots, 0), (- 0.31649 \dots, 0), Y Intercepts : (0, - 0.625)

Vertex : Minimum (0.5, - 1)

Inverse : 0.81649 \dots x + 1 + 0.5, - 0.81649 \dots x + 1 + 0.5

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, \infty)

Solution steps

Domain of

1.5 (x - 0.5)^{2} - 1 : - \infty < x < \infty

Range of

1.5 (x - 0.5)^{2} - 1 : f (x) \geq - 1

Axis interception points of

1.5 (x - 0.5)^{2} - 1 :

X Intercepts

: (1.31649 \dots, 0), (- 0.31649 \dots, 0),

Y Intercepts

: (0, - 0.625)

Vertex of

1.5 (x - 0.5)^{2} - 1 :

Minimum

(0.5, - 1)

Inverse of

1.5 (x - 0.5)^{2} - 1 : 0.81649 \dots x + 1 + 0.5, - 0.81649 \dots x + 1 + 0.5

Popular Examples

f(x)=x^3*sin(x)

f (x) = x^{3} \cdot sin (x)

y = - 2 x + 25

y = - 4 x^{2} - 2 x

f (x) = \frac{( x - 2 )}{3}

f(x)=2x^3+3x^2+9

f (x) = 2 x^{3} + 3 x^{2} + 9

Frequently Asked Questions (FAQ)

What is the y=1.5(x-0.5)^2-1 ?
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