Answer:
Step-by-step explanation:
Remember that the derivative tells us the slope of the tangent line at a given point.
So, we want to find the equation of the tangent line to f(x) at x=8.
We are given that f'(8) is -10.
In other words, the slope of the tangent line to f(x) at x=8 is -10.
We also know that f(8)=9. In other words, we have the point (8,9).
So, we can use the point-slope form to figure out the equation:
Substitute -10 for m and let (8,9) be (x₁, y₁). So:
Distribute the -10:
Add 9 to both sides:
And we're done!
False, because you can do 2 x 0.5 and you would get 1. And 1 is less than 2
Answer:
B. (2,-5)
Step-by-step explanation:
The vertex of the function can be found in the most lower value that the function can have.
Since we have an ABS function involved we need to analyse it at first
We know that |x| = x if x> 0 and |x| = -x if x< 0
if we now change x by x-2 (the content of our ABS function involved, we have the following
|x-2| = x-2 if x-2> 0
|x-2| = -x+2 if x-2< 0
Those inequaiities have a common solution
x-2=0, this means that x=2 is the lowest value the ABS(X-2) has and it is equals to zero.
So by evaluating x=2 in the given function we will obtain its vertex.
leading to f(2)=6 |2-2|-5= -5
Hence the point (2,-5) is the vertex of our function
Answer:
square hope this helps lol