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If f(x) = x^2 + 3x + 2, what is the value of f(-1) and is it continuous?
If f(x) = x^2 + 3x + 2, what is the value of f(-1) and is it continuous?
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Practice Questions
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Q1
If f(x) = x^2 + 3x + 2, what is the value of f(-1) and is it continuous?
0, Continuous
0, Discontinuous
4, Continuous
4, Discontinuous
Show Solution
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f(-1) = (-1)^2 + 3(-1) + 2 = 0. Since f(x) is a polynomial, it is continuous everywhere.
Questions & Step-by-step Solutions
1 item
Q
Q: If f(x) = x^2 + 3x + 2, what is the value of f(-1) and is it continuous?
Solution:
f(-1) = (-1)^2 + 3(-1) + 2 = 0. Since f(x) is a polynomial, it is continuous everywhere.
Steps: 8
Show Steps
Step 1: Identify the function f(x) = x^2 + 3x + 2.
Step 2: Substitute -1 into the function: f(-1) = (-1)^2 + 3(-1) + 2.
Step 3: Calculate (-1)^2, which is 1.
Step 4: Calculate 3(-1), which is -3.
Step 5: Now combine the results: f(-1) = 1 - 3 + 2.
Step 6: Simplify the expression: 1 - 3 = -2, then -2 + 2 = 0.
Step 7: Therefore, f(-1) = 0.
Step 8: Determine if the function is continuous. Since f(x) is a polynomial, it is continuous everywhere.
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