Studdy AI Logo
Math  /  Algebra

QuestionUse the graph of y=f(x)y=f(x) to answer the following.
Part 1 of 8 (a) Determine f(−2)f(-2). f(−2)=f(-2)= □\square
Part 2 of 8 (b) Determine f(3)f(3). f(3)=□f(3)=\square

Studdy Solution

STEP 1

1. We are given a graph of the function y=f(x) y = f(x) .
2. The graph has an open circle at (−2,−3) (-2, -3) , indicating a point that is not included in the function.
3. The graph has a filled circle at (3,2) (3, 2) , indicating a point that is included in the function.
4. We need to determine the values of f(−2) f(-2) and f(3) f(3) .

STEP 2

1. Analyze the graph to determine f(−2) f(-2) .
2. Analyze the graph to determine f(3) f(3) .

STEP 3

Examine the graph at x=−2 x = -2 . The graph shows an open circle at the point (−2,−3) (-2, -3) . An open circle indicates that the point is not included in the function, meaning f(−2) f(-2) is undefined.

STEP 4

Examine the graph at x=3 x = 3 . The graph shows a filled circle at the point (3,2) (3, 2) . A filled circle indicates that the point is included in the function, meaning f(3)=2 f(3) = 2 .
The value of f(−2) f(-2) is:
undefined \boxed{\text{undefined}}
The value of f(3) f(3) is:
2 \boxed{2}

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord