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Pani-rosa [81]
2 years ago
13

At which values of x does the function F(x) have a vertical asymptote? Check all that apply. F(x)=2/3x(x-1)(x 5).

Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
7 0

The function F(x) have a vertical asymptote at x =0 and x =1.

Given that

The given Function;

\rm  F(x)=\dfrac{2}{3x(x-1)(x^ 5)}

We have to determine

At which value the function F(x) has a vertical asymptote.

According to the question

The given Function;

\rm  F(x)=\dfrac{2}{3x(x-1)(x^ 5)}

The function is undefined when the denominator becomes 0. Find values of x for which the denominator is 0:

Then,

\rm 3x (x-1) (x^5)= 0

\rm x^5 =0, \ \  x=0\\\\ x-1 = 0, \ \ x =1\\

The value of x is 0 and 1.

Hence, the function F(x) have a vertical asymptote at x =0 and x =1.

To know more about Parabola click the link given below.

brainly.com/question/12868913

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Plot the x- and y- intercepts of the function.
olya-2409 [2.1K]

Answer:

y intercept = -2

x intercepts = -2,-1,1

Step-by-step explanation:

f(x) = x^3 + 2x^2 -x-2

Set this equation equal to zero to find the x intercepts.

Factoring by grouping

0 =x^3 -x   +2x^2 -2

   = x( x^2-1) +2(x^2-1)

Factoring out the (x^2-1)

0= (x^2-1) (x+2)

Factoring the first term using the difference of squares (a^2-b^2) = (a-b)(a+b)

0 = (x-1) (x+1) (x+2)

Using the zero product property

x-1 = 0  x+1  = 0  x+2 =0

x=1,  x=-1   x=-2

The x intercepts are -2, -1, 1


To find the y intercepts, set x=0

y = x^3 + 2x^2 -x-2

y = 0 -2

y = -2


4 0
3 years ago
Marissa is drawing coins from a bag that contains 5 pennies (yellow), 4 nickels (green), 5 dimes (red), and 2 quarters (blue). T
vesna_86 [32]

Stranger things is the best show ever

5 0
3 years ago
A savings account balance can be modeled by the graph of the linear function shown on the grid. What is the rate of change of ba
OLga [1]

Answer:

75 dollars per 1 deposit

(75/1)

Step-by-step explanation:

The graph tells me

~plz tap the crown~

7 0
3 years ago
Which statement correctly compares functions f and g? function f function g An exponential function passes through (minus 1, 5),
slamgirl [31]

A statement correctly compares functions f and g is that: C. they have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞.

<h3>What is a function?</h3>

A function can be defined as a mathematical expression that defines and represents the relationship between two or more variable, which is typically modelled as input (x-values) and output (y-values).

<h3>The types of function.</h3>

In Mathematics, there are different types of functions and these include the following;

  • Periodic function
  • Inverse function
  • Modulus function
  • Signum function
  • Piece-wise defined function.

Function g is represented by the following table and a line representing these data is plotted in the graph that is shown in the image attached below.

x          -1   0   1    2   3   4

g(x)     24  6   0  -2  

Based on the line, we can logically deduce the following points:

  • y-intercept approaches -2.43 to 24.86.
  • x-intercept approaches negative infinity (-∞) to infinity (∞).

This ultimately implies that, a statement correctly compares functions f and g is that both functions have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞.

Read more on function here: brainly.com/question/9315909

#SPJ1

6 0
1 year ago
Ramon took out a car loan with an interest rate of 10 percent and paid $100 in loan application fees. What term describes the am
Drupady [299]
<span>The term describes the amount of interest Ramon will pay is APR, annual percent rate which is 10%. The term annual percentage rate of charge (APR<span>), corresponding sometimes to a nominal </span>APR<span> <span>and sometimes to an effective </span></span>APR<span> <span>(or EAPR), describes the interest rate for a whole year (annualized), rather than just a monthly fee/rate, as applied on a loan,<span> </span></span></span></span>
7 0
3 years ago
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