Remember that a rational function will have an oblique asymptote if the degree of the polynomial in the numerator is higher than the degree of the polynomial in the denominator. Since the degree of the numerator of our rational function is 2, and the degree of its numerator is 1, our function will have an oblique asymptote. To find it, we are going to use long division:
with a remainder of 3.
The quotient of the division will be the terms of the linear equation that represents the oblique asympote of our function; notice that you don't need to use the remainder at all:
Equation of the oblique asymptote:
We can conclude that the correct answer is <span>
C) y = 2x + 3.</span>
The equation of the function g(x) will be g(x) = - ln (x + 2).
<h3>What is a logarithm?</h3>
Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.
Let the equation of the function f will be
f(x) = ln x
If the function is multiplied with negative sign, then the function gets flipped about the x-axis.
And if we add 2 in the variable of the function, then the function gets shifted towards left.
Then the equation of the function g(x) will be
g(x) = - ln (x + 2)
More about the logarithm link is given below.
brainly.com/question/7302008
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Answer:
A correlation exists in a scatter plot if there is a general trend in the outputs as inputs increase. If the outputs generally increase in value, then there is a positive correlation. If the outputs generally decrease in value, then there is a negative correlation.
Let's use the slope intercept form of a line which is:
y=mx+b where m=slope and b=y-intercept.
Mathematically m=(y2-y1)/(x2-x1) and the y-intercept is just the value of y when x is equal to zero, where the line intercepts the y axis...
First you want to find the slope by finding two clearly identifiable points on the graph...I'll pick (4,4) and (0,1), now we can calculate the slope or "m"...
m=(4-1)/(4-0)=3/4 so now we can say our line is:
y=0.75x+b, using point (4,4) we can now solve for b.
4=0.75(4)+b
4=3+b
b=1 so the line is"
y=0.75x+1
Answer:Write f(x)=x^2+2x-99 in standard form and please show your work
Step-by-step explanation:f
(
x
)
=
x
2
+
2
x
−
99
