All categories

2 years ago

Which could be the function graphed below?

Mathematics

2 answers:

stiv31 [10]2 years ago

3 0

The parent equation of the given graph is $y=\sqrt[n]{x}$

where, n is any even number.

When this function is vertically shifted ( vertical dilation) down in the y- axis,

we get a graph similar to the one given in the question.

For example: $y=\sqrt[2]{x}-2$

The graph of the above function is attached below.

Fed [463]2 years ago

3 0

Try this way:
$f(x)= \sqrt[n]{x} -a,$
where n - even number, a - const.
P.S. one example is in the attachment.

You might be interested in

Match each type of function with a characteristic of its graph. Enter the letter of the correct characteristic next to the type

Lerok [7]

Answer:

Linear Function: Its graph has a constant slope (D).

Quadratic Function: Its graph is a parabola (B).

Inverse Variation Function: Its graph has both a horizontal asymptote and a vertical asymptote (F).

Square-root Function: Its graph has a closed endpoint (A).

Exponential Function: Its graph has a horizontal asymptote, but not a vertical asymptote (C).

Logarithmic Function: Its graph is a reflection of the graph of an exponential function in the line <em>y = x </em>(E).

9 0

2 years ago

Read 2 more answers

a barangay has 1000 individuals and its population doubles every 60 years. Give an exponential model for the barangay's populati

sdas [7]

Answer:

P(t) = 1000e^(0.01155)t

Step-by-step explanation:

Let the population of barangay be expressed according to the exponential formula;

P(t) = P0e^kt

P(t) is the population of the country after t years

P0 is the initial population

t is the time

If barangay has 1000 initially, this means that P0 = 1000

If the population doubles after 60years then;

at t = 60, P(t) = 2P0

Substitute into the formula

2P0 = P0e^k(60)

2 = e^60k

Apply ln to both sides

ln2 = lne^60k

ln2 = 60k

k = ln2/60

k = 0.01155

Substitute k = 0.01155 and P0 into the expression

P(t) = 1000e^(0.01155)t

Hence an exponential model for barangay's population is

P(t) = 1000e^(0.01155)t

7 0

2 years ago

The album The Best of Radiohead, by Radiohead, has a list price of $13.83, and the album The King of Limbs, by Radiohead, has a

neonofarm [45]

Answer:

206 albums The King of Limbs and 34 albums The Best of Radiohead sold

Step-by-step explanation:

Let x be the no. of The album The Best of Radiohead sold .

We are given that total sales of both albums in one week is 240 albums.

So, number of albums The King of Limbs = 240 -x

Cost of 1 album The Best of Radiohead by Radiohead is $13.83

Cost of x album The Best of Radiohead by Radiohead = 13.83x

Cost of 1 album The King of Limbs, by Radiohead= $7.83

Cost of (240-x) album The King of Limbs, by Radiohead=7.83(240-x)

The total cost revenue of both albums in that week is 2083.20

So, 13.83x+7.83(240-x)=2083.20

13.83x+1879.2-7.83x=2083.20

13.83x-7.83x=2083.20-1879.2

6x=204

$x=\frac{204}{6}$

x=34

The no. of The album The Best of Radiohead sold is 34

Number of albums The King of Limbs = 240 -x =240-34=206

Hence 206 albums The King of Limbs and 34 albums The Best of Radiohead sold

6 0

2 years ago

Production of passenger cars in Japan increased from 3.94 million in 1999 to 6.74 million in 2009. What is the geometric mean an

vovangra [49]

Let's assume initial population is in 1999

so, production of passenger cars in Japan is 3.94 million in 1999

so, P=3.94 million

and the production of passenger cars in Japan is 6.74 million in 2009

so, A=6.74 million in t=2009-1999=10 years

now, we can use formula

$A=P(1+r)^t$

here , r is interest rate

so, we can plug values

$6.74=3.94(1+r)^{10}$

now, we can solve for

$\left(1+r\right)^{10}=\frac{337}{197}$

$r=0.05516$

so,

the geometric mean annual percent increase is 5.516%............Answer

7 0

2 years ago

Determine Which Number in the set below that are integers ???? {-15, 24 ,5/8 , 4.5, -6.25} A) {-15, 24} B) {-15, 24 ,5/8, 4.5, -

ratelena [41]

The answer to this question is B

7 0

2 years ago