You will be showered with points if u me the function f(x)=26.2−0.1x models the distance a runner is from the finish line of a race 26.2 miles long, where x represents the number of minutes running from the 50-minute mark through the 100-minute mark of the race. what is the practical range of the function? all real numbers between 50 and 100 inclusive integers from 50 to 100 inclusive all real numbers between 16.2 and 21.2 inclusive all integers which function represents the graph of h(x)=2|x−3|+1 after it is translated 2 units to the right? f(x)=2|x−3|+3 f(x)=2|x−1|+1 f(x)=2|x−3|−1 f(x)=2|x−5|+1

The range of a dataset is the set of output values the function can take.

Range

The function is given as:

When x = 50,

When x = 100,

So, the range of the function is:

All real values between 16.2 and 21.2

Function Transformation

The function is given as:

When the function is translated 2 units right, we have:

Hence, the translated function is: (d)

Read more about range and transformation at:

link

C

Step-by-step explanation:

f(x) = 26.2 - 0.1x

f(100) = 26.2 - 0.1(100)

         = 26.2 = 10.0

         = 16.2

f(5-) = 26.2 - 0.1(50)

       = 26.2 - 5.0

       = 21.2

D

Step-by-step explanation:

f(x) = 2|x - 3| + 1

2 units right: f(x) = 2|x - (3 + 2)| + 1

                           = 2|x - 5| + 1

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.