The value of the square root of 13 is between ____
2 answers:
You might be interested in
Answer:
Domain: (-∞, -2) U [-2, 1] U (1, ∞)
Range: (-∞, 2) U [-3, -∞)
Step-by-step explanation:
This function is composed of three polynomial functions, a positive slope line , whose domain is all real numbers, a horizontal line, and a negative slope line
whose domain is all real numbers.
Observe in the attached graph that the function has a discontinuity in x = -2, it has a jump.
When x approaches -2 by the left hand, y tends to 2. But when x approaches -2 from the right y tends to -3.
In addition, the function comes from -∞, then has a maximum value at y = 2 and finally derece up to -∞
Then we can conclude that for this piecewise function:
Domain: (-∞, -2) U [-2, 1] U (1, ∞) All Real Numbers
Range: (-∞, 2) U [-3, -∞)
Option D (The student should have used as the slope of the perpendicular line.) is correct.
Step-by-step explanation:
We need to identify the error that the student made in finding equation of the line that passes through (-8,5) and is perpendicular to y = 4x + 2
The slope of the required line would me -1/m because both lines are perpendicular.
So, slope of new line will be: -1/4
because the equation of slope-intercept form is: where m is the slope
Now, for finding equation the student used point slope form i.e
where y_1 and x_1 are the points and m is the slope.
Putting values:
x_1=-8, y_1=5 and m=-1/4
This is the correct solution.
The student made error by using the wrong slope he used 2 instead of -1/4
in the step
So, Option D (The student should have used as the slope of the perpendicular line.) is correct.
Keywords: Equation of line using Slope
Learn more about Equation of line using Slope at:
#learnwithBrainly
I hope this helps you
