SOLUTION: The solutions of (2x − 5) / (3 − x) ≥ 0 are the values of x for which the graph of y = 2x^2 − 11x + 15 1. lies above the x - axis 2. lies on or above the x

SOLUTION: The solutions of (2x − 5) / (3 − x) ≥ 0 are the values of x for which the graph of y = 2x^2 − 11x + 15 1. lies above the x - axis 2. lies on or above the x - axis,

Question 1142381: The solutions of (2x − 5) / (3 − x) ≥ 0 are the values of x for which the graph of y = 2x^2 − 11x + 15
1. lies above the x - axis
2. lies on or above the x - axis, excluding x = 3
3. lies below the x - axis
4. lies on or below the x - axis, excluding x = 3
5. lies on or below the x - axis, excluding x = 3 and x = 5/2
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

The critical points of the rational function are the x values that make the numerator or denominator 0. Those values are x=5/2 and x=3. Note that x=5/2 is valid because 0 in the numerator is okay; x=3 is not valid because 0 in the denominator is not valid.

The zeroes of are also x=5/2 and x=3.

The critical values of both functions divide the number line into 3 intervals: (-infinity,2.5), (2.5,3), and (3,infinity).

(1) Determine on which interval(s) the rational function is greater than or equal to 0, paying attention to whether the endpoints of each interval are included.

(2) For those intervals, determine whether the graph of 2x^2-11x+15 is above or below the x-axis.

(3) Select the correct answer choice.
RELATED QUESTIONS
Find all values of x for which the graph of (1/x) lies above graph... (answered by greenestamps)

The table shows some values for the function y=11x-2x^2-12 for 1 < or equals to X < or... (answered by MathLover1)

The table shows some values for the function y=11x-2x^2-12 for 1 less than or equals to X (answered by MathLover1)

For which x values is the graph of y=(1/2)^x above the... (answered by jim_thompson5910)

which of the following plots lies on the graph of... (answered by Alan3354)

What are the values of x for which... (answered by ewatrrr)

x 0 1 2 3 f(x) 1 2 5 10 The table above... (answered by ewatrrr)

Draw the graph of y=4+2x-x^2 for values of x from -2 to 4 using a scale of 2cm to... (answered by Boreal)

For what values of x will the graph of 2x - 3y + 5 = 0 be above the x-axis? (answered by Jaggkneio)