its about math FUNCTIONS?

Question

given that g(x) = | 4-x |

find the range of g if its domain is
-3

Answer 1

This one has a twist.
Some values in the range will give an absolute value smaller than that which comes from the limit of the domain.
When x = 4 you have the smallest range.
When x = -3 you have the largest range.
so the function gives
g(4) = 0
g(-3) = 7
so the range is 0 <= g() < 7
It is "less than or equal to" only because the minimum value has a domain that is not at the limit.

Answer 2

When x = -3, g =7; but since -3
When x approaches 6, g approaches 2;

When x=4, g=0

g cannot be negative

The range of g is 0 <= g < 7

Answer 3

simple your given a function g in terms of x, and a range of values of x. substitute the maximum and minimum values in for x to get the range for the function g.

for x = -3; g(-3) = |4- -3| = 7
for x = 6; g(6) = |4- 6| = 10

thus the range of g is 7<=g<=10, if the domian is -3 cheers

Answer 4

g(x) = | 4-x |
find the range of g if its domain is -3
I 4-6 I = I -2 I = 2
I 4 - (-3) I = I 4 + 3 I = 7

The range is 2 < g(x) < 7 ANS

teddy boy

Answer 5

minimum value=l 4-4 l=l 0 l=0
max value=l 4-(-3) l=l 7 l=7
hence,range of g(x) is 0

Answer 6

The range is g is greater than or equal to zero. It's vertex is at x=4 being the lowest point of the function.

Answer 7

[0,7) becoz min value occurs when u put x=4 and max value when x=-6...