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1 answer:
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Answer:
The following are the LINEAR functions.
Step-by-step explanation:
We know that linear functions are the equations with a straight line graph in an XY plane.
Also, a linear function is a function of the form
where m is the slope and b is the y-intercept. The only power of the variable is 1.
So, from the given expressions we can determine that:
1)
is NOT a linear function because the power of y is 2, hence the graph won't be a straight line. Therefore, it is not a linear function
2)
This is a linear equation is an equation of a straight line, written in one variable. The only power of the variable is 1
3)
is a linear function because it is of the form
and the power of its x and y variables is 1. Hence, the function has a straight line graph.
4)
is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.
5)
is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.
6)
is a constant function and a constant function is also considered linear in this context, as it is a polynomial of degree
or is the
polynomial.
7)
is a linear function as the power of its x and y variables is 1. Hence, the function has a straight line graph. Therefore, it is a linear function.
In a summary, the following are the LINEAR functions.
Answer: D) a+bi
Where both a and b are real numbers.
In your textbook, you might see to indicate that they are real numbers.
An example would be 7+13i, where a = 7 and b = 13.