All categories

1 year ago

Find the vertex of the given function.

Mathematics

1 answer:

IRISSAK [1]1 year ago

4 0

The vertex of the function is at (5, 10)

For the function, the domain exists on all real numbers while the range exist for the value f(x) ≥ 10

<h3>Vertex, domain and range of a function</h3>

The vertex of a quadratic or linear function is in the form

y = a(x – h)^2 + k

where;

(h, k) is the vertex of the function

Given the function expressed as;

f(x) = |x-5| + 10

On comparison, you can see that h = 5 and k =10, hence the vertex of the function is at (5, 10)

For the domain and range

Domain are the dependent variable for which a function exist while the range is the independent variable for which a function exist.

For the function, the domain exists on all real numbers while the range exist for the value f(x) ≥ 10

Learn more on vertex, domain and range here: brainly.com/question/544653

#SPJ1

You might be interested in

Find the measure of the missing angle. 34°

Digiron [165]

The answer is 56.

As you can see, the triangle given is a right angle, meaning it is 90 degrees. To find the missing angle, we can solve 90 - 34 to get 56.

hope this helps !! have a nice day :))

5 0

3 years ago

Read 2 more answers

In baseball, a player's batting average is calculated by dividing the number of hits by the numbers of at-bats. If player A's ba

Anna11 [10]

Average = no of hits / no of at-bats
0.296 = x / 446
0.296/ 446 = x
132.016
No of hits ≈ 132

8 0

3 years ago

Can someone please help me

Verizon [17]

Answer:

The answer is 0.9

Step-by-step explanation:

I got it right

7 0

3 years ago

Read 2 more answers

1. Find the LCM of 12 and 9 NEED HELP ASAP

kondaur [170]

Answer:

its 36

Step-by-step explanation:

7 0

3 years ago

Question 2 of 5

AlekseyPX

Given:

The different recursive formulae.

To find:

The explicit formulae for the given recursive formulae.

Solution:

The recursive formula of an arithmetic sequence is $f(n)=f(n-1)+d, f(1)=a,n\geq 2$ and the explicit formula is $f(n)=a+(n-1)d$ , where a is the first term and d is the common difference.

The recursive formula of a geometric sequence is $f(n)=rf(n-1), f(1)=a,n\geq 2$ and the explicit formula is $f(n)=ar^{n-1}$ , where a is the first term and r is the common ratio.

The first recursive formula is:

$f(1)=5$

$f(n)=f(n-1)+5$ for $n\geq 2$ .

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 5. So, the explicit formula for this recursive formula is:

$f(n)=5+(n-1)(5)$

$f(n)=5+5(n-1)$

Therefore, the correct option is A, i.e., $f(n)=5+5(n-1)$ .

The second recursive formula is:

$f(1)=5$

$f(n)=3f(n-1)$ for $n\geq 2$ .

It is the recursive formula of a geometric sequence with first term 5 and common ratio 3. So, the explicit formula for this recursive formula is:

$f(n)=5(3)^{n-1}$

Therefore, the correct option is F, i.e., $f(n)=5(3)^{n-1}$ .

The third recursive formula is:

$f(1)=5$

$f(n)=f(n-1)+3$ for $n\geq 2$ .

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 3. So, the explicit formula for this recursive formula is:

$f(n)=5+(n-1)(3)$

$f(n)=5+3(n-1)$

Therefore, the correct option is D, i.e., $f(n)=5+3(n-1)$ .

6 0

3 years ago

Read 2 more answers