Determine the Positive and Negative Domains of y = 2x² - 5x + 3

Find the positive and negative domains of the function:

y=2x2−5x+3 y=2x^2-5x+3

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Step-by-step written solution

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1

Understand the problem

Find the positive and negative domains of the function:

y=2x2−5x+3 y=2x^2-5x+3

2

Step-by-step solution

Therefore, the positive and negative domains of the function are:

x<0:1<x<1.5 x < 0 : 1 < x < 1.5

x>1.5 x > 1.5 or x>0:x<1 x > 0 : x < 1

3

Final Answer

x<0:1<x<1.5 x < 0 : 1 < x < 1.5

x>1.5 x > 1.5 or x>0:x<1 x > 0 : x < 1

Practice Quiz

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The graph of the function below intersects the X-axis at points A and B.

The vertex of the parabola is marked at point C.

Find all values of \( x \) where \( f\left(x\right) > 0 \).

AAABBBCCCX

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