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Given the function f(x) = 4x − 1.
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Answer
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| Point | x | y |
|---|---|---|
| y-intercept | 0 | −1 |
| x-intercept | 0.25 | 0 |
Step-by-step solution
2 stepsHere's the solution to the problem:
Given the function .
Part a· 2 steps
Find the value of and .
Calculate .
Substitute into the function:
Calculate .
Substitute into the function:
The values are and .
Part b
Is function continuous at the point ? Give reason.
Yes, the function is continuous at the point .
Reason:
A function is continuous at a point if three conditions are met:
- is defined.
- exists.
- .
For at :
- . So, is defined.
- . So, the limit exists.
- and . Thus, .
Alternatively, and more concisely, is a polynomial function. All polynomial functions are continuous for all real numbers. Therefore, is continuous at .
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