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3 years ago

If f has a local maximum value at x = a, what would you expect the graph of f ' to look like near x = a?

1 answer:

5 0

You would expect $f$ to be increasing to the left of $x=a$ , and decreasing to the right, which corresponds to $f'$ being positive when $x$ (but near $x=a$ ) and negative when $x>a$ .

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If f(x)=4x and g(x)=2x-1 what is g(f(-2))

azamat

F(-2) = 4x(-2) = -8;
g(f(-1))= g(-8) = 2x(-8) -1 = -16 - 1 = -17.

4 0

3 years ago

What is the first step when solving the following inequality x+2/-5<4? Group of answer choices A. Add 5 to both sides and DO

LiRa [457]

Assuming we're dealing with $\frac{x+2}{-5} < 4$ , which is the same as writing (x+2)/(-5) < 4, then the answer is choice C.

We multiply both sides by -5 and this will flip the inequality sign.

-------------------------------------

Multiplying or dividing both sides by a negative number flips the inequality sign.

An example would be saying -2x < 10 leads to x > -5

What we can do is divide both sides by -2 and flip the inequality sign, or we could follow the steps shown below

-2x < 10
0 < 10+2x ... adding 2x to both sides
-10 < 2x ... subtracting 10 from both sides; this is one way to see why the sign flip happens
2x > -10
x > -10/2 ..... dividing both sides by 2
x > -5

4 0

3 years ago

Help me plssss it’s due tonight

Varvara68 [4.7K]

Answer:

Answer choice A

Step-by-step explanation:

This is the midpoint of both coordinates.

4 0

3 years ago

Help me do examples for a function and a non function

bekas [8.4K]

Answer:

{(1,2) (3,4) (5,6)} and {(1,2) (1,4) (5,6)}

Step-by-step explanation:

you really want to think of a function as a vending machine. if you press B12 on a vending machine because thats where the chips are, only the chips should come out. in a function, the input value aka x (B12, what youre putting in) should only have one output value aka y, (the chips)

an example of a function would be {(1,2) (3,4) (5,6)}

an important thing to remember is that one output value can belong to multiple input values. there can be chips (output) in both B12 and C12 (inputs) BUT as i said before, there CANNOT be two outputs for one input. B12 cannot give you both chips and a drink.

using this, another example of a function would be {(1,2) (3,2) (5,2)}

an example of an non function would be {(1,2) (1,4) (5,6)} because x, the input value, has multiple output values which is not possible. the output of 1 can not be 2 and 4 at the same time which we can see in the (x,y) coordinates.

4 0

2 years ago

Vicki puts 10 books on a shelf.The 10 books take up 28 centimeters.What is the mean (average) thickness of her books?= 2.8 cmThe

babymother [125]

So each book is an average of 2.8 cm
so 120 divided by each book=number of books
120/2.8=42.85
round down since you can't fit .85 of a book on a shelf
the answer is 42 books

4 0

3 years ago