All categories

3 years ago

Which rules define the function graphed below? (15 points cuz I'm stumped)

Mathematics

1 answer:

Lana71 [14]3 years ago

4 0

Answer: Choice A

y=2x+3; y=-1/3x+3

==================================================

Explanation:

The left portion of the blue curve is y = 2x+3 but it is only graphed when x < 0 (we could argue that $x \le 0$ but I'll set that aside for the other portion).

The right portion is the line y = -1/3x + 3 and it's only graphed when $x \ge 0$

So we could have this piecewise function

$f(x) = \begin{cases}2x+3 \ \text{ if } x < 0\\-\frac{1}{3}x+3 \ \text{ if } x \ge 0\\\end{cases}$

Or we could easily swap the "or equal to" portion to move to the first part instead like this

$f(x) = \begin{cases}2x+3 \ \text{ if } x \le 0\\-\frac{1}{3}x+3 \ \text{ if } x > 0\\\end{cases}$

Either way, we're involving the equations mentioned in choice A

You might be interested in

Select all the correct answers.

amid [387]

Answer:

It costs $15 a month to play the video game.

The initial cost is $45.

The y-variable represents the cost in dollars.

The x-variable represents the number of months.

Step-by-step explanation:

If you break the function down, you're going to have:

<u>Total = Monthly Cost + Initial Cost</u>

In this case, 15x is your monthly cost, as you can think of x as the number of months meaning:

15 for the first month (x = 1)
30 for the second month (x = 2)
45 for the third month (x = 3), and so on

Our initial cost is always going to be a set amount, thus our constant, $45.

This leaves y as our total, which makes sense, as it's all alone on one side of the equation, where as all the costs are bunched together on the right side.

Hope this helps!

6 0

2 years ago

Read 2 more answers

Quick which answer choice is it????

dmitriy555 [2]

Answer:

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

The height of a right square pyramid is multiplied by 10, but the area of the base is unchanged. By what factor is the volume of

pshichka [43]

Answer:

b 10¹

Step-by-step explanation:

Consider the volume formula:

V = 1/3Bh . . . . B is the base area and h is the height

Replacing h by 10h gives ...

V' = 1/3B(10h) = 10(1/3Bh) = 10V

The volume is multiplied by 10 = 10¹.

5 0

2 years ago

Which of the following relations has an inverse that is not a function?

sertanlavr [38]

Answer:

Option B is correct.

The relation which has an inverse that is not a function is :(1, 2), (1, 3), (4, 3)

Step-by-step explanation:

Inverse of a function is the set of ordered pairs obtained by interchanging the first and second elements of each pair in the original function.

Let f(x) ={(1, 2), (1, 3), (4, 3)}

To find the inverse:

Inverse of f(x)=g(x)= {(2, 1), (3, 1), (3, 4)}

Function states that a relation in which each input value has only one output value.

Since, g(x) is not a function because the input 3 has multiple output values,.

Therefore, the only relation which has an inverse that is not a function is :(1, 2), (1, 3), (4, 3)

8 0

3 years ago

Suppose that the given line has a slope of -2/3 and a y-intercept of (0,5/3). which of the following points is also a solution t

otez555 [7]

Answer:

From five given points it is find that points (1 , 1) and (4 , -1) will apply

Step-by-step explanation:

According to question,

Slop of line (m) = $\frac{-2}{3}$

And y-intercept is ( 0, $\frac{5}{3}$ )

So from above slope and points, the equation of line can be written as

y = mx + c

i.e $\frac{5}{3}$ = $\frac{-2}{3}$ x + c

$\frac{5}{3}$ = $\frac{-2}{3}$ (0) + c

$\frac{5}{3}$ = 0 + c

Or, c = $\frac{5}{3}$

A) With points ( 5, $\frac{5}{3}$ )

At x = 5, y = $\frac{-2}{3}$ (5) + $\frac{5}{3}$

or, y = $\frac{-10}{3}$ + $\frac{5}{3}$

so, y = $\frac{-5}{3}$

Hence this points do not apply

B) With points ( 1 , 1 )

At x = 1, y = $\frac{-2}{3}$ (1) + $\frac{5}{3}$

or, y = $\frac{-2+5}{3}$

So, y = $\frac{3}{3}$

y = 1

Hence this points will apply

C) With points ( 4 , -1 )

At x = 4 , y = $\frac{-2}{3}$ (4) + $\frac{5}{3}$

y = $\frac{-8+5}{3}$

y = $\frac{-3}{3}$

So, y= -1

Hence this points will apply

D) With points (-3 ,7)

At x = - 3, y = $\frac{-2}{3}$ (-3) + $\frac{5}{3}$

y = $\frac{14}{3}$

Hence this point will not apply

E) with points (0 , 0)

At x 0, y = $\frac{-2}{3}$ (0) + $\frac{5}{3}$

Or, y = 0 + $\frac{5}{3}$

y = $\frac{5}{3}$

Hence this point will not apply

∴ From above five given points it is find that points (1 , 1) and (4 , -1) apply

Answer

7 0

3 years ago