All categories

3 years ago

Describe the end behavior of the following function: f(x)=7x^2-3x^2-6

Mathematics

1 answer:

Savatey [412]3 years ago

4 0

We are given function : f(x)=7x^3-3x^2-6.

We need to describe the end behavior of the given function.

In order to describe end behavior of a function we need to find the degee and leading coefficient of the given function.

Degree of the given function is the maximum power of the exponent.

We have x^3, there.

Therefore, degree of the given function is : 3 an odd degree and

Leading coefficient is : 7 a positive number.

<em>According to end behavior rule, when degree is an odd degree and leading coefficient is a positive number the f(x) would be of same sign as x.</em>

Therefore end behavior would be

You might be interested in

Translate each of these statements into logical expressions by using quatifiers and predicates with one or two variables. (a) A

nikdorinn [45]

Answer:

a) $A = \{\exists x \in M, \exist y \in U\,|\,xGy \}$ , b) $B = \{\exists x \in M,\,\exists y \in H\,|\,xMy \}$ , c) $C = \{\forall x \in M\,|\,xI \}$ , d) $D = \{\exists x \in M,\,\forall y \in U\,|\,xJy \}$ , e) $E = \{\exists x \in M, \forall y \in V, V \subseteq U\,|\,xJy \}$

Step-by-step explanation:

a) x - A student, M - Set of students of discrete math class, G - has lived in, y - Florida, U - Set of states of the United States of America.

$A = \{\exists x \in M, \exist y \in U\,|\,xGy \}$

b) x - A student, M - Set of students of discrete math class, y - A perfect grade, H - Midterm I.

$B = \{\exists x \in M,\,\exists y \in H\,|\,xMy \}$

c) x - A student, M - Set of students of discrete math class, I - loves discrete math.

$C = \{\forall x \in M\,|\,xI \}$

d) x - A student, M - Set of students of discrete math class, J - has been in, y - a state, U - Set of states of the United States of America.

$D = \{\exists x \in M,\,\forall y \in U\,|\,xJy \}$

e) x - A student, M - Set of students of discrete math class, J - has been in, y - a city, V - At least one state of the United States of America, U - Set of states of the United States of America.

$E = \{\exists x \in M, \forall y \in V, V \subseteq U\,|\,xJy \}$

5 0

3 years ago

What's the value of 2<br><img src="https://tex.z-dn.net/?f=2%5Cpi" id="TexFormula1" title="2\pi" alt="2\pi" align="absmiddle" cl

Oduvanchick [21]

The answer is 6.28318530718.

2 x pi (3.14159 etc.,) equals 6.28318530718...

6 0

3 years ago

a taxi driver charges a fixed of r to a passenger. In addition, the taxi driver charges a rate of m for each mile driven. Write

lubasha [3.4K]

R=fixed rate
m=rate of miles
n= miless
T(n)=total amount per miles(n)
T (n) =mn+r

5 0

3 years ago

A pound of crackers costs $2.88. You purchased 1/4 pound of crackers. How much money did you pay?

Maru [420]

Answer:

72 cents

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Does the equation represent a linear or nonlinear function? Explain<br><br> Y=8/x2

Evgesh-ka [11]

Non linear, if the x2 is x^2 then the exponent is greater than one

linear functions have the highest exponent being 1 where all non linear functions have their highest exponent being more than one

3 0

3 years ago