Graph the function f( x ) = |x+2| - 3
2 answers:
Answer:
Find the attached
Step-by-step 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.
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Explanation:
Remember: we have to isolate the variable x, so that means we have to get x by itself.
Step 1:
Let’s look at our equation:
Let’s subtract 2x from both sides of the equation, since our goal is to isolate the variable. You could also subtract 6x from both sides, but you would end up with a negative number, and I find it easier to deal with positive numbers.
Step 2:
Now, let’s subtract 57 from both sides of our equation.
Step 3:
Since we have to isolate x, let’s divide both sides of the equation by 4.
Our final answer: x = 64.5
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