Michael's father is giving him an interest-free loan for a car. Michael plans to give his father a $5000 down payment and pay $5
2 answers:
Answer:
Change in x i.e. number of months would change the slope of the linear function.
Step-by-step explanation:
Given :
Michael plans to give his father a $5000 down payment and pay $500 per month.
The total amount paid can be represented by the linear function T = 500x + 5000, where T is the total paid to his father and x is the number of months.
To Find: What would change the slope of the linear function?
Solution:
We are given a linear function
Where T is the total paid to his father and x is the number of months.
General form of linear function =
Where m is the slope of the function
x changes the slope of the function
So, comparing the given function with general form :
m = 500
So, change in x i.e. number of months would change the slope of the linear function.
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Answer:
Domain:
Range:
Decreases over:
Step-by-step explanation:
Given
--- Missing from the question
Solving (a): The domain
To get the domain, the expression under the square root must not be negative.
In other words:
Solve for x
Hence, the domain is:
To get the range, we plot the values of the domain in the expression.
So, the range is:
To get the interval where the function increases or not, we simply plot the graph of f(x).
See attachment for graph.
From the attachment, it will be observed that the graph of f(x) continuously decreases from x = -1, and it never increased.
This implies that, the graph decreases over the interval
