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If f(x) = x^2 + 2x + 1, what is f(-1)? Is f(x) continuous at x = -1? (2019)
If f(x) = x^2 + 2x + 1, what is f(-1)? Is f(x) continuous at x = -1? (2019)
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Practice Questions
1 question
Q1
If f(x) = x^2 + 2x + 1, what is f(-1)? Is f(x) continuous at x = -1? (2019)
0, Yes
0, No
1, Yes
1, No
Show Solution
Copy
f(-1) = (-1)^2 + 2*(-1) + 1 = 0. The function is a polynomial and is continuous everywhere, including at x = -1.
Questions & Step-by-step Solutions
1 item
Q
Q: If f(x) = x^2 + 2x + 1, what is f(-1)? Is f(x) continuous at x = -1? (2019)
Solution:
f(-1) = (-1)^2 + 2*(-1) + 1 = 0. The function is a polynomial and is continuous everywhere, including at x = -1.
Steps: 9
Show Steps
Step 1: Identify the function f(x) = x^2 + 2x + 1.
Step 2: Substitute -1 into the function: f(-1) = (-1)^2 + 2*(-1) + 1.
Step 3: Calculate (-1)^2, which is 1.
Step 4: Calculate 2*(-1), which is -2.
Step 5: Now add the results: 1 - 2 + 1.
Step 6: Calculate 1 - 2 = -1, then -1 + 1 = 0.
Step 7: So, f(-1) = 0.
Step 8: Determine if f(x) is continuous at x = -1. Since f(x) is a polynomial, it is continuous everywhere.
Step 9: Conclude that f(x) is continuous at x = -1.
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