Given The Function $f(x) = X - 7$, Find $f(15$\].
**Understanding the Function f(x) = x - 7: A Comprehensive Guide** ===========================================================
What is the Function f(x) = x - 7?
The function f(x) = x - 7 is a linear function that takes an input value x and returns the result of subtracting 7 from x. This function can be graphed as a straight line on a coordinate plane, with a slope of 1 and a y-intercept of -7.
How to Evaluate the Function f(x) = x - 7
To evaluate the function f(x) = x - 7, we simply need to substitute the input value x into the function and perform the subtraction. For example, if we want to find f(15), we would substitute x = 15 into the function and get:
f(15) = 15 - 7 f(15) = 8
Q&A: Evaluating the Function f(x) = x - 7
Q: What is the value of f(15)?
A: The value of f(15) is 8, since f(15) = 15 - 7 = 8.
Q: What is the value of f(-3)?
A: The value of f(-3) is -10, since f(-3) = -3 - 7 = -10.
Q: What is the value of f(0)?
A: The value of f(0) is -7, since f(0) = 0 - 7 = -7.
Q: What is the slope of the function f(x) = x - 7?
A: The slope of the function f(x) = x - 7 is 1, since the function is in the form f(x) = mx + b, where m is the slope and b is the y-intercept.
Q: What is the y-intercept of the function f(x) = x - 7?
A: The y-intercept of the function f(x) = x - 7 is -7, since the function is in the form f(x) = mx + b, where m is the slope and b is the y-intercept.
Q: Can the function f(x) = x - 7 be graphed on a coordinate plane?
A: Yes, the function f(x) = x - 7 can be graphed on a coordinate plane as a straight line with a slope of 1 and a y-intercept of -7.
Q: What is the domain of the function f(x) = x - 7?
A: The domain of the function f(x) = x - 7 is all real numbers, since the function is defined for any value of x.
Q: What is the range of the function f(x) = x - 7?
A: The range of the function f(x) = x - 7 is all real numbers, since the function can take on any value.
Conclusion
In conclusion, the function f(x) = x - 7 is a linear function that takes an input value x and returns the result of subtracting 7 from x. We can evaluate the function by substituting the input value x into the function and performing the subtraction. The function can be graphed on a coordinate plane as a straight line with a slope of 1 and a y-intercept of -7. The domain and range of the function are all real numbers.
Frequently Asked Questions
Q: What is the value of f(25)?
A: The value of f(25) is 18, since f(25) = 25 - 7 = 18.
Q: What is the value of f(-5)?
A: The value of f(-5) is -12, since f(-5) = -5 - 7 = -12.
Q: What is the value of f(10)?
A: The value of f(10) is 3, since f(10) = 10 - 7 = 3.
Q: What is the slope of the function f(x) = x - 7?
A: The slope of the function f(x) = x - 7 is 1, since the function is in the form f(x) = mx + b, where m is the slope and b is the y-intercept.
Q: What is the y-intercept of the function f(x) = x - 7?
A: The y-intercept of the function f(x) = x - 7 is -7, since the function is in the form f(x) = mx + b, where m is the slope and b is the y-intercept.
Q: Can the function f(x) = x - 7 be graphed on a coordinate plane?
A: Yes, the function f(x) = x - 7 can be graphed on a coordinate plane as a straight line with a slope of 1 and a y-intercept of -7.
Q: What is the domain of the function f(x) = x - 7?
A: The domain of the function f(x) = x - 7 is all real numbers, since the function is defined for any value of x.
Q: What is the range of the function f(x) = x - 7?
A: The range of the function f(x) = x - 7 is all real numbers, since the function can take on any value.