Which statement is true about the end behavior of the graphed function?
2 answers:
Answer:
The correct option is D.
Step-by-step explanation:
Consider the provided graph of the function.
As the x values go to positive infinity or negative infinity the function value increase or goes to positive infinity.
The end behavior of the function is,
Now consider the provided options.
Option A is incorrect because As the x-values go to positive infinity, the function's values go to positive infinity.
Option B is incorrect because As the x-values go to zero, the function's values doesn't go to positive infinity.
Option C is incorrect because As the x-values go to negative infinity, the function's values are not equal to zero.
Option D is the correct option because As the x-values go to negative infinity, the function's values go to positive infinity.
Therefore, the correct option is D.
You might be interested in
Let
x---------> represent the number of miles Troy's has driven
y--------> represent the amount of gas in Troy's truck
we know that
the equation that represents the amount of gas, y, in troy' s truck after driving a certain number of miles, x is
where
m is the slope--------->
in this problem the slope is equal to
it's negative because the tank is going to be consumed
assuming he starts with a full tank
substitute in the formula above
therefore
the answer is
the equation
Answer:
The equation is found to be:
y(20) = 1241.34
Step-by-step explanation:
The given data is:
x: 3 7 11 14 17
y: 83 142 301 450 722
Now, we find sum summation values, relevant to the formula of exponential regression model, using calculator:
∑ ln y = 27.77305, ∑x ln y = 308.1494, ∑x = 52, ∑ x² = 664
and, n = no. of data points = 5
Now, we use formulae of exponential regression model to find out values of constant:
b = (n∑x lny - ∑x ∑ln y)/[n∑x² - (∑x)²]
b = [(5)(308.1494) - (52)(27.77305)]/[(5)(664) - (52)²]
b = 0.16
Now, for a;
a = (∑ln y - b∑x)/n
Therefore,
a = [(27.77305) - (0.16)(52)]/5
a = 3.9
For, α:
α = e^a = e^3.9
α = 50.6
So, the final equation of exponential regression model is given as:
Now, we find value of y for x = 20:
y(20) = (50.6) e^(0.16*20)
<u>y(20) = 1241.34</u>
For this case we must pose a verbal problem equivalent to the following expression:
So, we have:
The sum of double a number plus five.
We propose the expression:
A number subtracted from the sum of double the same number plus five equals twenty-six.
Answer:
A number subtracted from the sum of double the same number plus five equals twenty-six.