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If f(x) = 3x + 2, what is the value of f(1) and is it continuous?
If f(x) = 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) = 3x + 2, what is the value of f(1) and is it continuous?
5, Continuous
5, Not Continuous
3, Continuous
3, Not Continuous
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f(1) = 3(1) + 2 = 5. Since f(x) is a linear function, it is continuous everywhere.
Questions & Step-by-step Solutions
1 item
Q
Q: If f(x) = 3x + 2, what is the value of f(1) and is it continuous?
Solution:
f(1) = 3(1) + 2 = 5. Since f(x) is a linear function, it is continuous everywhere.
Steps: 7
Show Steps
Step 1: Identify the function given, which is f(x) = 3x + 2.
Step 2: To find f(1), substitute 1 for x in the function: f(1) = 3(1) + 2.
Step 3: Calculate 3(1), which equals 3.
Step 4: Add 2 to the result from Step 3: 3 + 2 = 5.
Step 5: Therefore, f(1) = 5.
Step 6: To check if the function is continuous, note that f(x) is a linear function.
Step 7: Linear functions are continuous everywhere, meaning there are no breaks or gaps.
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