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tangare [24]
3 years ago
9

Determine if the function f(x)=x+4 is increasing or decreasing on the interval of 2≤x≤5. Justify your answer.

Mathematics
1 answer:
Rudik [331]3 years ago
7 0

Step-by-step explanation:

Given

The function is f(x)=x+4

for x_2>x_1, we will check the values of f(x_1) and f(x_2)

Take 3 and 4

f(4)=4+4\\f(4)=8

Similarly,

f(3)=3+4\\f(3)=7

Thus, f(4)>f(3)

Also, f'(x) is 1 i.e. a constant value. So, the function is increasing linearly for the given interval.

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Question 10 of 10<br> The function F(x) = log5 x is decreasing.<br> A. True<br> B. False<br> SUBMIT
MArishka [77]

Answer: False

Step-by-step explanation:

The base is more than 1, so the function is increasing.

4 0
1 year ago
Express 73 kilometers per hour in miles per hour
lorasvet [3.4K]
45.36km/hr.............. ...........
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3 years ago
20 POINTS! TTM
g100num [7]

A relation is (also) a function if every input x is mapped to a unique output y.

In terms of graphical representation, this implies that a graph represents a function if there doesn't exist a vertical line that intersects the graph more than once. So:

  1. The first graph is exactly a vertical line, so it's not a function.
  2. The second graph represents the function y=x, so it's a function: you can see that every possible vertical line crosses the graph only once.
  3. The third graph is not a function, because you can draw vertical lines that cross the graph twice.
  4. Similarly, in the fourth graph you can draw vertical lines that cross the graph twice
  5. The fifth graph is a function, because every vertical line crosses the graph once
  6. The last graph is a function, although discontinuous, for the same reason.
8 0
3 years ago
Read 2 more answers
Which expression could represent the length of a rectangle that has an area equal to 4x2+12x?
grandymaker [24]

there are two expressions that can represent the length of the rectangle, these two expressions are:

L = x

or

L = (4x + 12)

<h3>Which expression could represent the length of the rectangle?</h3>

Remember that for a rectangle of length L and width W, the area is given by:

A = L*W

In this case, we know that the area is:

A = 4x^2 + 12x

We can factorize that expression into:

A = x*(4x + 12)

So there are two expressions that can represent the length of the rectangle, these two expressions are:

L = x

or

L = (4x + 12)

If you want to learn more about rectangles:

brainly.com/question/17297081

#SPJ1

6 0
1 year ago
Help please it’s needed
julia-pushkina [17]

Answer:

The reasonings I provided are just examples (they are true, though!). Hope this helps!

3 0
3 years ago
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