Gordon O'Quinn
03/10/2023 · Junior High School
Use the graph of the function \( f \) shown to the right to answer parts (a)-( \( \mathbf{n}) \). (b) Find \( f(6) \) and \( f(0) \). \( f(6)=6 \) \( f(0)=-3 \) (c) Is \( f(2) \) positive or negative? Negative Positive (d) Is \( f(-7) \) positive or negative? Negative
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Tutor-Verified Answer
Step-by-step Solution
To answer parts (b) through (d) based on the graph of the function \( f \):
(b) You have already provided the values:
- \( f(6) = 6 \)
- \( f(0) = -3 \)
(c) To determine whether \( f(2) \) is positive or negative, you would look at the value of the function at \( x = 2 \) on the graph. If the graph is above the x-axis at this point, then \( f(2) \) is positive; if it is below, then \( f(2) \) is negative. Since you indicated that \( f(2) \) is negative, we can conclude that \( f(2) < 0 \).
(d) Similarly, for \( f(-7) \), you would check the value of the function at \( x = -7 \) on the graph. If the graph is below the x-axis at this point, then \( f(-7) \) is negative. Since you indicated that \( f(-7) \) is negative, we can conclude that \( f(-7) < 0 \).
In summary:
- \( f(6) = 6 \)
- \( f(0) = -3 \)
- \( f(2) \) is negative.
- \( f(-7) \) is negative.
Quick Answer
- \( f(6) = 6 \)
- \( f(0) = -3 \)
- \( f(2) \) is negative.
- \( f(-7) \) is negative.
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