A. Graph the piece-defined function
2 answers:
Answer:
A. see the attached
B. domain: all real numbers; range: [-6, -6] U [2, ∞)
Step-by-step explanation:
A. The graph is shown in the attachment.
__
B. The function is defined for all values of x, so the domain is all real numbers.
The range includes all numbers 2 or greater, as well as -6.
Answer:
Domian x is set of all real numbers (-∞, ∞)
range is U [2,∞)
Step-by-step explanation:
A. Graph the piece-defined function
f(x)={x+4,x≥-2
-6, x<-2
Domain is the set of x values,
Domian x is set of all real numbers
For range we check the y values
Plug in for x
so range is y values greater than 2
For second function, y value is only -6
So range is U [2,∞)
You might be interested in
Here you go, i didn’t know what other way to graph it. but i used desmos!
To find the tangent line we will need the slope of the tangent at x=-1 (the x-coordinate of the point given). We find the slope by using the derivative of the curve.
Th curve given is
which can be solved for y by taking the root of both sides. We obtain 
We find the derivative using the chain rule. Bring down the exponent, keep the expression in the parenthesis, raise it to 1/2 - 1 and then take the derivative of what is inside.
Next we evaluate this expression for x=-1 and obtain:
So we are looking for a line through (-1,2) with slope equal to -9/2. We use y=mx+b with m=-9/2, x=-1 and y=2 to find b.
2-(9/2)=b
b=-5/2
So the tangent line is given by y=(-9/2)x+(-5/2)
Th curve given is
We find the derivative using the chain rule. Bring down the exponent, keep the expression in the parenthesis, raise it to 1/2 - 1 and then take the derivative of what is inside.
Next we evaluate this expression for x=-1 and obtain:
So we are looking for a line through (-1,2) with slope equal to -9/2. We use y=mx+b with m=-9/2, x=-1 and y=2 to find b.
2-(9/2)=b
b=-5/2
So the tangent line is given by y=(-9/2)x+(-5/2)