Answer:
The standard form of line is
Step-by-step explanation:
we are given a line
slope=3
so,
y-intercept of -2
so,
now, we can use slope-intercept form of line
now, we can plug values
we can write it in standard form of line
we can subtract both sides by 3x
So, the standard form of line is
The ratio is a fraction that tells us how many times longer a thing is compared to another thing. In mathematics, we express a ratio as the relationship between two numbers, namely , so the ratio can be written as:
If we can change this number without changing the ration we need to multiply both the numerator and the denominator by the same number. For instance, if we have the following ratio:
We can multiply both the numerator and denominator, say, by 7. Then:
As you can see, the ratio's number has changed but without changing the ratio itself because:
a) The given function is
The domain refers to all values of x for which the function is defined.
The function is defined for
This implies that;
b) The vertical asymptotes are x-values that makes the function undefined.
To find the vertical asymptote, equate the denominator to zero and solve for x.
This implies that;
c) The roots are the x-intercepts of the graph.
To find the roots, we equate the function to zero and solve for x.
The roots are
d) The y-intercept is where the graph touches the y-axis.
To find the y-inter, we substitute;
into the function
e) to find the horizontal asypmtote, we take limit to infinity
The horizontal asymtote is
f) The greatest common divisor of both the numerator and the denominator is 1.
There is no common factor of the numerator and the denominator which is at least a linear factor.
Therefore the function has no holes.
g) The given function is a proper rational function.
There is no oblique asymptote.
See attachment for graph.
