Super că te-am ajutat.
Which value is in the domain of f(x)?
1 answer:
Answer:
C) 4
Step-by-step explanation:
The missing options are:
<em>A) –7 </em>
<em>B) –6 </em>
<em>C) 4 </em>
<em>D) 5</em>
In the picture attached a better representation of the function is shown. There, we can see that in the first interval: -6 < x ≤ 0, -6 is not included, but 0 it is included. In the second interval: 0 < x ≤ 4, 0 is not included, but 4 it is included.
-7 is not included because is less than -6, and only x values greater than -6 are included.
5 is not included because is greater than 4, and only x values less than 4 are included.
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The inequality described can be written as:
y < 3x + 2.
<h3>How to get the inequality?</h3>First, we know that we have a dashed line, and the region to the left of that line is shaded, then we will have:
y < line.
The linear equation is of the form:
y = a*x + b
Where a is the slope and b is the y-intercept.
Remember that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:
Here we know that the line passes through (-3, -7) and (0, 2), so the slope is:
And because the line passes through (0, 2), the y-intercept is 2, then the inequality is:
y < 3x + 2.
If you want to learn more about inequalities:
#SPJ1