The x-intercepts and the y-intercepts of the function is that determines the graph is:
- x-intercepts = (-5,0) and (-1,0)
- y-intercepts = (0,2)
<h3>How do we graph the function y = f(x) of an absolute equation?</h3>
The function of an absolute equation can be graphed by determining the values of x-intercepts and the y-intercepts of the function.
From the given equation:
y = 2|x+3| - 4
To determine the y-intercepts, we need to set the values of x to zero, and vice versa for x-intercepts.
By doing so, the x-intercepts and the y-intercepts of the function is:
- x-intercepts = (-5,0) and (-1,0)
- y-intercepts = (0,2)
Therefore, since we know the x and y-intercepts, the graph of the absolute value can be seen as plotted below.
Learn more about determining the graph of an absolute equation here:
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Answer:
<u>Given:</u>
<u>Isolate x:</u>
<u>Divide both sides by 2πz:</u>
x = –5 or x = 3
Solution:
Given expression:
⇒ –x – 1 = 4 or –x – 1 = 4
First take –x – 1 = 4.
Add 1 on both side of the equation.
⇒ –x – 1 + 1 = 4 + 1
⇒ –x = 5
Divide by –1 on both side of the equation, we get
⇒ x = –5
Now take –x – 1 = –4.
Add 1 on both side of the equation.
⇒ –x – 1 + 1 = –4 + 1
⇒ –x = –3
Divide by –1 on both side of the equation, we get
⇒ x = 3
x = –5 or x = 3
Hence the two values of x are –5 or 3.
Answer:
B) -5 and 5
Step-by-step explanation:
Integers are opposites if they are each the same distance away from zero, but on opposite sides of the number line. One integer is negative and the other is positive.
y = total cost used.
x = additional minutes
y = $49.95 + $0.15x
$61.20 = $49.95 + $0.15x. Subtract the $49.95 from each side.
$11.25 = $0.15x. Divide each side by $0.15
75 = x.
Michael used 75 additional minutes.