Please help me out in optional maths
1 answer:
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Answer:
1. Equal domain, range, interval of increase and lack of asymptotes
The difference is the difference in slope
2. Equal domain, range, no increase or decrease (constant value) and lack of asymptotes
The difference is the difference in the y-intercept
Step-by-step explanation:
1. The similarities between the functions, y = 5·x and y = 3·x are;
a. The domain of y = 5·x is the set of all real numbers and the range is (-∞; ∞)
b.There are no critical point and the interval of increase is (-∞; ∞)
There are no asymptotes the line crosses the origin
The x and y intercept are both zero
Similarly, The domain of y = 3·x is the set of all real numbers and the range is (-∞; ∞)
There are no critical point and the interval of increase is (-∞; ∞)
There are no asymptotes the line crosses the origin
The x and y intercept are both zero
The difference between the functions, y = 5·x and y = 3·x is that the slope of y = 5·x is 5 and the slope of y = 3·x is 3
2.
The similarities between the functions, y = 4 and y = (2) are;
a. The domain of y = 4 is the set of all real numbers (-∞; ∞), and the range is {4}
b.There are no critical point and no interval of increase or decrease
There are no asymptotes the line does not cross the origin
There are no x-intercept and y intercept is (0, 4)
Similarly, the domain of y = (2) is the set of all real numbers (-∞; ∞), and the range is {2}
There are no critical point and no interval of increase or decrease
There are no asymptotes the line does not cross the origin
There are no x-intercept and y intercept is (0, 2)
The difference between the functions, y = 4 and y = (2) is that the y-intercept of y = 4 is 4 and the y-intercept of y = (2) is 2
The subtraction function
is defined as the subtraction of the two equations, representing each function:
So, we have