Determine all critical points for the following function. f(x)=x2−14x+1
1 answer:
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Answer:
(x, y) = (7, -48)
Step-by-step explanation:
A critical point is where the slope is zero or undefined. A polynomial function will never have any points where the slope is undefined.
The slope is zero were f'(x) = 0.
f'(x) = 2x -14
0 = 2x -14
0 = x -7
7 = x
f(7) = 49 -98 +1 = -48
The critical point is (7, -48).
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Answer:
y+11=-(x-4)
Step-by-step explanation:
since the equation is perpendicular to y=4x-2, m=-1/4 (negative reciprocal). (x_1,y_1)=(4,-11), plug all the values into the equation y- y_1 = m(x-x_1) and we get y+11=-(x-4)
Answer:
The value of k is 3.
Step-by-step explanation:
The function f(x) passes through the points (0,4) and (-6,-2)
So the equation of the function is
⇒ y = x + 4 ....... (1)
Again the function g(x) passes through the points (0,4) and (-2,-2).
Therefore, the equation of g(x) will be
⇒ y = 3x + 4
Therefore, g(x) = 3x + 4 = f(3x) {from equation (1).
So, the value of k is 3. (Answer)