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3 years ago

Which graph represents the function f(x) =2|x|?

Mathematics

2 answers:

steposvetlana [31]3 years ago

6 0

Answer:

the third graph

love history [14]3 years ago

5 0

<h2>Answer:</h2>

The correct graph is Graph 3.

<h2>Step-by-step explanation:</h2>

We are given a modulus function f(x) by:

$f(x)=2|x|$

We will go through the following graphs by checking the value of the graph at some value of x and see whether the value on the graph at that x matches the value of f(x) at that particular x.

when x=1 we have:

$f(x)=2\times |1|\\\\f(x)=2$

Graph 1:

When x=1

we have:

$f(x)=0.5\neq 2$

Hence, Graph 1 does not represent the given function.

Graph 2:

when x=1 we have:

$f(x)=1\neq 2$

Hence, Graph 2 is not the answer.

Graph 4:

when x=1 we have:

$f(x)$

Hence, graph 4 is not the correct graph to represent f(x).

Hence, we are left with Graph 3.

When we plot the function f(x) we see that it matches the graph 3.

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5) Beth is making brownies. She makes 5 batches of brownies on Saturda She uses 1/4 cup of butter in each batch. How much butter

Irina-Kira [14]

Answer:

the answer is 5/4. If you multiply 1/4 by 5 you get 1 1/4 which is the same as 5/4.

8 0

2 years ago

Reduce a ratio 3/4in: 3/16 ft

Dmitrij [34]

Answer:

4in : 1ft

Step-by-step explanation:

We start with:

3/4 in = 3/16 ft

This means that the length of 3/4 inches is the same as the length of 3/16 feet.

To reduce this, we can start by dividing by 3 in both sides of the equation:

(3/4)/3 in = (3/16)/3 ft

1/4 in = 1/16 ft

Now we can multiply both sides by 16:

16/4 in = 16/16ft

4 in = 1ft

now we reduced the ratio to:

4in : 1ft

5 0

3 years ago

Find the difference quotient off, that is, find fly+h)-f(x) h h#0, for the following function. Be sure to simplify. f(x) = x^2 -

Sloan [31]

The difference quotient for the function f(x) is $h+2x-7$

Given :

Difference quotient formula

$\frac{\left(f\left(x+h\right)-f\left(x\right)\right)}{h}$

Given function $f(x) = x^2 - 7x + 8$

find the difference quotient using the formula

first we find out f(x+h) using given f(x)

replace x with x+h

$f(x) = x^2 - 7x + 8 \\f(x+h)=\mathrm{ }\left(x+h\right)^2-7\left(x+h\right)+8\\Expand \; and \; simplify\\f(x+h)=x^2+2xh+h^2-7\left(x+h\right)+8\\f(x+h)=x^2+2xh+h^2-7x-7h+8$

Now replace it in our formula and also replace f(x)

$\frac{\left(f\left(x+h\right)-f\left(x\right)\right)}{h}\\ \frac{x^2+2xh+h^2-7x-7h+8-(x^2 - 7x + 8)}{h} \\\frac{x^2+2xh+h^2-7x-7h+8-x^2 + 7x - 8}{h} \\\\\frac{h^2+2xh-7h}{h}\\factor \; out \; h\\\frac{h\left(h+2x-7\right)}{h}\\h+2x-7$