The function q(x) is a polynomial. If q(–12)=–3 and q(–8)=3, can you conclude that q(x) is ever equal to 0?

Question

The function q(x) is a polynomial. If q(–12)=–3 and q(–8)=3, can you conclude that q(x) is ever equal to 0?
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

Yes, we can conclude that q(x) is ever equal to 0. This is because of the Intermediate Value Theorem, which states that if a function is continuous on a closed interval [a, b] and k is any number between f(a) and f(b), then there is at least one number c in the interval (a, b) such that f(c) = k.

I Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

This problem has been solved

Similar Questions

The function q(x) is a polynomial. If q(–12)=–3 and q(–8)=3, can you conclude that q(x) is ever equal to 0?

The function p(x) is a polynomial. If p(–9)=–10 and p(–2)=–7, can you conclude that p(x) is ever equal to 0?

The function h(x) is continuous on the interval [0,6]. If h(0)=–9 and h(6)=11, can you conclude that h(x) is ever equal to 1?

Assertion: The constant polynomial 0 is called zero polynomial.Reason: √x + 3 is a polynomial.

. 0 ∈ ∅ 2. ∅ ∈ {0} 3. {0} ⊆ ∅4. ∅ ⊂ {0} 5. {∅} ⊆ {∅} 6. {0} ⊆ {0}7. ∅ ∈ {∅} 8. {∅} ∈ {{∅}} 9. {∅} ⊂ {∅, {∅}}10. x ∈ {x} 11. ∅ ⊆ {x} 12. ∅ ∈ {x}Lec 2 TS 5

1/3