All categories

3 years ago

What is the parent function of the following graph?

Mathematics

2 answers:

Leya [2.2K]3 years ago

5 0

X^4 because it has 4 zeroes ( the graph crosses the x axis 4 times

kaheart [24]3 years ago

4 0

<h2>Answer:</h2>

The parent function of the given graph is:

Option: C

$F(x)=x^4$

<h2>Step-by-step explanation:</h2>

Since, the graph of the function has four real zeros this means that the parent function must be a function of degree four.

Also, we know that if the degree of the parent function would be odd then the end behavior of the graph ( i.e. the behavior of the graph when x tends to infinity and when x tends to minus infinity ) must be in opposite direction.

But here the graph is in the same direction.

Hence, the degree of the function is four i.e. even.

From the given choice the choice that best matches the condition is:

$F(x)=x^4$

You might be interested in

A class of 40 students elected a class president. There were 12 votes for Candidate A, and 18 votes for Candidate B. The rest of

mote1985 [20]

40 students
12-A
18-B
40-12=28
28-18=10
10/40 did not vote.
25% did not vote
10 is one fourth of 40
fourth of 100% is 25%

7 0

3 years ago

Use the figure below to find the distance across the river (IK)

Black_prince [1.1K]

Step-by-step explanation:

ΔJLK = ΔNLM ( vertically opposite Δ)

ΔJKL = ΔNML ( each 90° )

so,

triangle JKL = triangle NML (by AA similarity)

JK / KL = NM / ML

JK / 21m = 42m / 49m

JK = 42 × 21 ÷ 49

JK = 18m

<h2>_______________</h2><h2>FOLLOW ME</h2>

3 0

3 years ago

(6.15x+0.24y)÷1.5+5.9x−1.6y Help plz

nadya68 [22]

Answer:

10x − 1.44y

Step-by-step explanation:

(6.15x + 0.24y) ÷ 1.5 + 5.9x − 1.6y =

= 4.1x + 0.16y + 5.9x − 1.6y

= 10x − 1.44y

8 0

3 years ago

Read 2 more answers

How many hours would you have to ride your bike at 10 mi/h to burn 550 calories? (Per Minute)

vesna_86 [32]

Answer:

The time spend to burn energy is 3300 minutes .

Step-by-step explanation:

Given as :

The speed at which the bike ride = 10 miles per hours

The energy burn while riding = 550 calories

Let The time spend to burn energy = t minutes

So, According to question

Time spend = $\dfrac{\textrm Energy burn}{\textrm rate of ride}$

i.e t = $\dfrac{550}{10}$ hours

∴ t = 55 hours

So, in minutes

The time spend

1 hours = 60 min

∴ 55 hours = 60 × 55 = 3300 minutes

So, The spend to burn energy = t = 3300 minutes

Hence The time spend to burn energy is 3300 minutes . Answer

4 0

3 years ago

What are the values of x in this equation?

NNADVOKAT [17]

Answer:

A. x = 0, x = -3, x = 2, and x = -2

Step-by-step explanation:

$x^{4} +12x=4x^{2} +3x^{3}$

by moving the terms on the left side to the right side

$x^{4} -3x^{3} -4x^{2} +12x = 0$

factor an $x^{3}$ from $x^{4} -3x^{3}$

and factor - 4 $x$ from $-4x^{2} +12x$

the equation becomes :

$x^{3} (x - 3 )-4x (x - 3)$ = 0

take $(x - 3)$ as a common factor the equation becomes :

$(x-3)(x^{3}-4x )$ = 0

thus

$x - 3 = 0$ ⇒ $x = 3$

and

$x^{3} - 4x = 0$ by factoring an x we get :

$x(x^{2}-4 ) =0$ ⇒ $x$ = 0 and $x^{2} - 4 = 0$

$x^{2} - 4 =0$ ⇒ $x = 2$ and $x = -2$

Thus

the values are :

x = 0, x = -3, x = 2, and x = -2

4 0

3 years ago