Answer:
For f(x) to be differentiable at 2, k = 5.
Step-by-step explanation:
For f(x) to be differentiable at x = 2, f(x) has to be continuous at 2.
For f(x) to be continuous at 2, the limit of f(2 – h) = f(2) = f(2 + h) as h tends to 0.
Now,
f(2 – h) = 2(2 – h) + 1 = 4 – 2h + 1 = 5 – 2h.
As h tends to 0, lim (5 – 2h) = 5
Also
f(2 + h) = 3(2 + h) – 1 = 6 + 3h – 1 = 5 + 3h
As h tends to 0, lim (5 + 3h) = 5.
So, for f(2) to be continuous k = 5
B is the correct answer! U have clicked the right thing...
Answer:
<h3>The slope is -1.</h3>
Step-by-step explanation:
To find an equation of the line that passes through the points, you have to use the slope formula.
Slope:
y2=3
y1=(-2)
x2=(-1)
x1=4
Solve.
3--2/-1-4=5/-5=-1
The slope is -1.
Answer:
y = -3x + 5
Step-by-step explanation:
(y2-y1)/(x2-x1)
Plug coordinates into that
Then plug one of the coordinates into y = -3x+b to get b
