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3 years ago

Which of the following functions is graphed below??

Mathematics

2 answers:

il63 [147K]3 years ago

6 0

Answer:

The required piece-wise function is

$f(x)=\begin{cases}x^3-3 & \text{ if } x\leq 2 \\ x^2+6 & \text{ if } x>2 \end{cases}$

Step-by-step explanation:

From the given graph it is clear that it is a piece-wise function because it is braked in two parts.

One part is defined for x≤2 and other part is defined for x>2 because left curve has closed circle at x=2 and right curve has open circle at x=2.

The y-intercept of the function is -3. From the given graph it is clear that the graph defined for x≤2 is a graph of cubic function that shifts 3 units down. So, the required function for x≤2.

$f(x)=x^3-3$

From the given graph it is clear that the right curve passes through the point (3,15) and moves towards (2,10).

The function $f(x)=x^2+6$ satisfied by both the points. So, the required function for x>2.

$f(x)=x^2+6$

Therefore the required piece-wise function is

$f(x)=\begin{cases}x^3-3 & \text{ if } x\leq 2 \\ x^2+6 & \text{ if } x>2 \end{cases}$

stellarik [79]3 years ago

3 0

It should be B on my opinion
I hope this help you

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Select the correct answer. 3 Twenty-seven minus 2 of a number (X) is not more than 36. What is the number? N O A. x > 42 OB.

e-lub [12.9K]

Answer:

the answer should be A.

Step-by-step explanation:

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3 years ago

Hello again. if someone gives me a hand with this book thickness excercise please thanks

geniusboy [140]

Answer:

Known:

• a book have front, back and 200 pages

• front= 0.7 mm

• back= 0.7 mm

• each page= 0,14 mm

ask:

calculate the minimum thickness...?

answer:

a. 200 p × 0,14 = 28 mm

b. front + back = 0.7+0.7= 1.4 mm

Thickness= 28+1,4 = 29,4 mm

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3 years ago

A pet store holds training classes for dogs. The store has two different training programs. The first program charges a $35 memb

GrogVix [38]

The programs cost the same for 7 classes.

Given, no. of classes is represented by c, no. of dogs is represented by d, no. of hours is represented by h, the no. of programs is represented by p and the total cost is represented by t.

The first program charges $35 membership fee and $5 for each class.

The second program charges only $10 for each class.

Now the total cost say $t_{1}$ , for first program can be written in equation form as,

$t_{1} =35+5c$ , here c is the no. of classes.

Similarly, the total cost say $t_{2}$ , for second program can be written in equation form as,

$t_{2} =10c$ .

We have to find out the no. of classes for which the two programs cost the same.

according to the question,

$t_{1} =t_{2}$

$35+5c=10c\\10c-5c=35\\5c=35\\c=7$

Hence for 7 of classes the programs cost the same.

For more details follow the link:

brainly.com/question/4042361

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2 years ago

Read 2 more answers

Which statement is true regarding the graphed functions?

padilas [110]

Answer:

Step-by-step explanation:

You can look them up in the graphs.

f(2) means "where is the blue graph when x=2?", and you can see it is at y=0.

4 0

3 years ago

Read 2 more answers

He buys a suit that was on sale for 25%off. He only paid $125.00. What was the original price? What was the amount of the discou

Citrus2011 [14]

Equation 1):

You want to buy something that costs $166.66, and it's on sale for 25% off. What is the item's sale price?

First, convert the 25% to a real mathematical number. For percent's, this is always done by dividing the 25% by 100%, or 25% / 100% = 0.250.

Second, find out what 25% of $166.66 is. This is the amount of the sale discount. This is always found by multiplying 0.250 by the item's cost $166.66, like this:

0.250 x $166.66 = $41.67.

So for this sale, you'll save $41.67 on this item.

This means, the cost of the item to you is

$166.66 - $41.67 = $125.00.

Alternatively, you can think about it this way. The item is 25% off. This means you'll pay 75.000% of the total cost (100% - 25% = 75.000%).

Now what's 75.000% of the total cost?

0.750 x $166.66 = $125.00.

Answer =====> Just like the result above, the sale price on the item is $125.00.

Equation 2:)

You want to buy something that costs $125, and it's on sale for 25% off. What is the item's sale price?

First, convert the 25% to a real mathematical number. For percent's, this is always done by dividing the 25% by 100%, or 25% / 100% = 0.250.

Second, find out what 25% of $125 is. This is the amount of the sale discount. This is always found by multiplying 0.250 by the item's cost $125, like this:

0.250 x $125 = $31.25.

So for this sale, you'll save $31.25 on this item.

This means, the cost of the item to you is

$125 - $31.25 = $93.75.

Alternatively, you can think about it this way. The item is 25% off. This means you'll pay 75.000% of the total cost (100% - 25% = 75.000%).

Now what's 75.000% of the total cost?

0.750 x $125 = $93.75.

Answer =====> Just like the result above, the sale price on the item is $93.75.

Hope that helps!!! : )

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3 years ago