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Question 9. (10pts) Consider the polynomial function, $f(x) = 2x^4 - 7x^3 + 4x^2 + 7x - 6$. (a) Does the graph intersect the x-axis between $x = -1/2$ and $x = 0$? (b) Does the graph intersect the x-axis between $x = 0$ and $x = 5/4$? Hint: intermediate value theorem.

          Question 9. (10pts) Consider the polynomial function, $f(x) = 2x^4 - 7x^3 + 4x^2 + 7x - 6$.
(a) Does the graph intersect the x-axis between $x = -1/2$ and $x = 0$?
(b) Does the graph intersect the x-axis between $x = 0$ and $x = 5/4$?
Hint: intermediate value theorem.

Question 9. (10pts) Consider the polynomial function, f(x) = 2x^4 - 7x^3 + 4x^2 + 7x - 6.
(a) Does the graph intersect the x-axis between x = -1/2 and x = 0?
(b) Does the graph intersect the x-axis between x = 0 and x = 5/4?
Hint: intermediate value theorem.

Added by Thomas C.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Julie Silva

Step 1

For x = -1/2: f(-1/2) = 2(-1/2)^3 - 7(-1/2)^2 + 4(-1/2) + 7(-1/2) - 6 = -1/4 - 7/4 - 2 + (-7/2) - 6 = -1/4 - 7/4 - 8/4 - 14/4 - 24/4 = -54/4 = -27/2 = -13.5 For x = 0: f(0) = 2(0)^3 - 7(0)^2 + 4(0) + 7(0) - 6 = Show more…

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Question 9.10 pts Consider the polynomial function f(x) = 2x^3 - 7x^2 + 4x + 7x - 6. a) Does the graph intersect the x-axis between x = -1/2 and x = 0? b) Does the graph intersect the x-axis between x = 0 and x = 5/4? Hint: Intermediate Value Theorem