How does changing the function from f(x) = 2 sin 4x to g(x) = 2 sin 4x + 3 affect the range of the function? the function shifts up 3 units, so the range changes from −2 to 2 in f(x) to 1 to 5 in g(x). the function shifts up 3 units, so the range changes from −1 to 1 in f(x) to 2 to 4 in g(x). the function shifts up 4 units, so the range changes from −2 to 2 in f(x) to 2 to 6 in g(x). the function shifts up 4 units, so the range changes from −1 to 1 in f(x) to 3 to 5 in g(x).

Step-by-step explanation:

Consider the parent function

f(x) = sin 4x has range as -1 to 1

When sin4x is multiplied by 2, we have range changes to -2 to 2

When the graph is shifted up by 3 units we get

range changes minimum from -2 to -2+3=1 and maximum as 2+3=5

So range is in the interval

[1,5]

Option

he function shifts up 3 units, so the range changes from −2 to 2 in f(x) to 1 to 5 in g(x)is right

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.

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .