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aksik [14]
2 years ago
5

A function f is differentiable for all values of x in [0,6], and the graph with equation y=f(x) has a local minimum point at (2,

4). The equation of the tangent at the point with the coordinates (2,4) is:
Mathematics
1 answer:
MrRa [10]2 years ago
4 0

Step-by-step explanation:

The slope of tangent line at a max or a minimum is 0,.

So using point slope formula.

y - 4 = 0(x - 2)

y = 4

Is the equation of a tangent line. This means we have a horizontal line at y= 4. Horizontal lines have a slope of 0.

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Find the domain and range of the exponential function h(x) = 125x.
Yanka [14]
H would decrease either way because h is a variable for a certain number. that number would usually be divided from both sides. you would be eliminating x from the equation. 125x/h. by dividing you are creating a smaller number. by dividing you are decreasing. you're welcome. :)
8 0
3 years ago
state the domain, the range, and the intervals on which function is increasing, decreasing, or constant in interval notation
erma4kov [3.2K]

Answer:

  • domain (-∞, ∞)
  • range (-∞, 4]
  • increasing (-∞, 0)
  • decreasing (0, ∞)
  • constant (only at x=0, not on any interval)

Step-by-step explanation:

The graph is of the equation y = -x^2 +4. It is a polynomial of even degree, so has a domain of all real numbers: (-∞, ∞).

The vertical extent of the graph includes y=4 and all numbers less than that:

  range: (-∞, 4]

The graph is increasing to the left of its vertex at x=0, decreasing to the right.

  increasing (-∞, 0); decreasing (0, ∞)

There is no interval on which the function is constant. It has a horizontal tangent at x=0, but a single point does not constitute an interval.

8 0
3 years ago
What is the perpendicular slope to the line y = 3/2+2?
Roman55 [17]

Answer:

slope is -2/3

Step-by-step explanation:

8 0
3 years ago
Need help plz help
torisob [31]

Answer:

A. Square for Ape.x

Step-by-step explanation:

8 0
3 years ago
WILL GIVE BRAINLIEST, SUPERB RATING, AND THANKS!
Vaselesa [24]

A line on this coordinate plane is horizontal when every input (x) has the same output y).

This function always gives the same output with no matter what input you put it in.

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