Over what interval does this function remain constant? Do not use any spaces in your interval.

Mathematics

1 answer:

mr_godi [17]3 years ago

7 0

Answer:

We conclude that the function remains constant over the interval [0, 2].

Step-by-step explanation:

We know that if x increases from left to right and y remains constant, the function remains constant over a certain interval.

From the given graph below, it is clear that from x = 0 to x = 2 the value of y does not change.

In other words, the value of y remains constant from x = 0 to x = 2.

i.e.

at x = 0, y = 5

at x = 1, y = 5

at x = 2, y = 5

Therefore, we conclude that the function remains constant over the interval [0, 2].

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The height of a hill, h(x), in a painting can be written as a

matrenka [14]

Answer:

First option: $6\ inches$

Step-by-step explanation:

<h3> The complete exercise is: "The height of a hill, h(x), in a painting can be written as a function of x, the distance from the left side of the painting. Both h(x) and x are measured in inches $h(x) = -\frac{1}{5}(x)(x -13)$ . What is the height of the hill in the painting 3 inches from the left side of the picture?</h3>

You have the following function provided in the exercise:

$h(x) = -\frac{1}{5}(x)(x -13)$

You know that $h(x)$ represents the height of the hill (in inches) and "x" represents the distance from the left side of the painting (in inches)