Graph the function fx 4 10 and answer the following questi

Graph the function, f{x) = -4 + 10 and answer the following question Find the domain of f. (Enter your answer using interval notation.) Find the range of f. (Enter your answer using interval notation.)

Solution

given f(x) = -4 | x-25 /10 | + 10

so domain is all the values (-infinite , infinite)

since domain means all the values \'x\' can take

here we have mod (x-25/10) it can take all real values

so domain is R

and range is all the f(x) values

-4| x-25 /10| will give all negative values

-4| x-25 /10| +10 will have a max of 10 value

so range is (-infinite , 10)

c). f(5)

plug x=5

so f(5) = -4 | 5 -25 /10 | +10

= -4 | -20/10| + 10

= -4 |-2| +10

= -4 *2 +10

= -8 +10

= 2