Question

Graph the function f( x ) = |x+2| - 3

Answer 1

Find the attached

Explanation:

To graph the given function, we would need to obtain pairs of points (x, f(x)). We can let x be;

-5, -4, -3, 3, 4, 5

we simply substitute each value of x in the given function to obtain the value of the function corresponding to the given x value;

when x = -5, f(-5) = |-5+2| - 3 = 0

when x = -4, f(-4) = |-4+2| - 3 = -1

when x = -3, f(-3) = |-3+2| - 3 = -2

when x = 3, f(3) = |3+2| - 3 = 2

when x = 4, f(4) = |4+2| - 3 = 3

when x = 5, f(5) = |5+2| - 3 = 4

Answer 2

Find the attached

Explanation:

To graph the given function, we would need to obtain pairs of points (x, f(x)). We can let x be;

-5, -4, -3, 3, 4, 5

we simply substitute each value of x in the given function to obtain the value of the function corresponding to the given x value;

when x = -5, f(-5) = |-5+2| - 3 = 0

when x = -4, f(-4) = |-4+2| - 3 = -1

when x = -3, f(-3) = |-3+2| - 3 = -2

when x = 3, f(3) = |3+2| - 3 = 2

when x = 4, f(4) = |4+2| - 3 = 3

when x = 5, f(5) = |5+2| - 3 = 4

The graph of the function is as shown in the attachment below.