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3 years ago

(Calc 1) Need help understanding this graph pls I tried to do it but it was wrong

Mathematics

1 answer:

Leona [35]3 years ago

7 0

You have #1 and #2 switched up.
The x->2- says you’re coming towards 2 from numbers less than 2.
The x->2+ says you’re coming towards 2 from numbers greater than 2.
See the attached photo.

The other one is #5.
Since there is an open circle at (0,0), this says there really isn’t a point there. f(0) is undefined. (You might need to say DNE for the computer.)

You might be interested in

How do you simplify expressions with rational exponents

Rainbow [258]

Answer:

Step-by-step explanation:

Simplify expression with rational exponents can look like a huge thing when you first see them with those fractions sitting up there in the exponent but let's remember our properties for dealing with exponents. We can apply those with fractions as well.

Examples

(a) $(p^4)^{\dfrac{3}{2}}$

From above, we have a power to a power, so, we can think of multiplying the exponents.

i.e.

$(p^{^ {\dfrac{4}{1}}})^{\dfrac{3}{2}}$

$(p^{^ {\dfrac{12}{2}}})$

Let's recall that when we are dealing with exponents that are fractions, we can simplify them just like normal fractions.

SO;

$(p^{^ {\dfrac{12}{2}}})$

$= (p^{ 6})$

Let's take a look at another example

$\Bigg (27x^{^\Big{6}} \Bigg) ^{{\dfrac{5}{3}}}$

Here, we apply the $\dfrac{5}{3}$ to both 27 and $x^6$

$= \Bigg (27^{{\dfrac{5}{3}}} \times x^\Big{\dfrac{6}{1}\times {{\dfrac{5}{3}}} }\Bigg)$

$= \Bigg (27^{{\dfrac{5}{3}}} \times x^\Big{\dfrac{2}{1}\times {{\dfrac{5}{1}}} }\Bigg)$

Let us recall that in the rational exponent, the denominator is the root and the numerator is the exponent of such a particular number.

∴

$= \Bigg (\sqrt[3]{27}^{5} \times x^{10} }\Bigg)$

$= \Bigg (3^{5} \times x^{10} }\Bigg)$

$= 249x^{10}$

8 0

3 years ago

The range of the following relation R{(3,-2), (1, 2), (-1, -4), (-1, 2)} is O{-1.1,3) -1,-1,1.3 01-4, 2, 2, 2] {-4, -2, 2

maw [93]

Answer:

The range is -2,2,-4

Step-by-step explanation:

hope this helps

6 0

3 years ago

2 There are x fish in a pond.

Akimi4 [234]

Answer:

x+5

Step-by-step explanation:

We are adding fish

There were x and then we added 5

There are now

x+5

5 0

3 years ago

Read 2 more answers

4x2 + 9y2 = 72 2x - y = 4 Which of the following is a solution to the system shown?

Ede4ka [16]

If you would like to solve the system of equations, you can do this using the following steps:

4x^2 + 9y^2 = 72
2x - y = 4 ... 2x - 4 = y
_________
4x^2 + 9y^2 = 72
4x^2 + 9 * (2x - 4)^2 = 72
4x^2 + 9 * (4x^2 - 16x + 16) = 72
4x^2 + 36x^2 - 144x + 144 = 72
40x^2 - 144x + 144 - 72 = 0
40x^2 - 144x + 72 = 0
10x^2 - 36x + 18 = 0
5x^2 - 18x + 9 = 0
(5x - 3) * (x - 3) = 0
1. 5x - 3 = 0 ... 5x = 3 ... x = 3/5
2. x = 3

1. y = 2x - 4 = 2 * 3/5 - 4 = 6/5 - 20/5 = -14/5
2. y = 2x - 4 = 2 * 3 - 4 = 6 - 4 = 2

1. (x, y) = (3/5, -14/5)
2. (x, y) = (3, 2)

The correct result would be (3/5, -14/5) and (3, 2).

5 0

3 years ago

The table shows the predicted growth of particular bacterium after various numbers of hours. Write an explicit formula for the s

Oksana_A [137]

Answer:

-29

Step-by-step explanation:

Problem 1

In the first hour, the number of bacteria is 22

In the second hour,the number of bacteria is 44

It looks like the formula is some multiple of 22

That means you should pick D

Problem 2

n = 12

a = 15

d = - 4

an= 15 + (n - 1)*d

a12 = 15 + 11*(-4)

a12 = 15 - 44

a12 = - 29

6 0

3 years ago