Explain how to graph a piecewise function

1 answer:

4 0

Just graph the function up to and/or including the points indicated.

- if you have a piecewise function defined as y=x when x < 0
y=-x when x >=1

You would graph y=x from the negative direction up to 0 (but leaving an open circle on 0 because the function is not defined there

Then start at point 1 (this time with a closed circle because y=-x is defined at 1, and graph y=-x.

You might be interested in

What is the simplest form of 3 square root 27 a^3b^7?

4vir4ik [10]

$\sqrt[3]{27a^3b^7} = \sqrt[3]{3^3 \cdot a^3 \cdot b^6 \cdot b^} = 3ab^2(\sqrt[3]{b} )$

5 0

2 years ago

James conducted an experiment with 4 possible outcomes. He determined that the experimental probability of event A happening is

Ganezh [65]

Answer:

Completing the experiment a few more times and combining the results to the trails already done.

8 0

3 years ago

Read 2 more answers

A bracelet that regularly sells for $44 is on sale for 25% off.Find the sale price of the bracelet.

a_sh-v [17]

Answer:

$33

Step-by-step explanation:

multiply 44 by 25 then divide by 100 to get $11 that's the amount that's being discounted so u subtract 44-11 ti get final answer

4 0

2 years ago

Read 2 more answers

Question in picture A) 16/63 B)-16/63 C) 63/16 D) -63/16

Orlov [11]

ANSWER
$\tan(x + y) = - \frac{63}{16}$

EXPLANATION

We were given that,

$\csc(x) = \frac{5}{3}$

This implies that,

$\sin(x) = \frac{3}{5}$

We use the Pythagorean identity

$\sin^{2} (x) + \cos^{2} (x)= 1$
to get,

$\cos(x) = \sqrt{1 - ( { \frac{3}{5} })^{2}} = \frac{4}{5}$

We were also given that,

$\cos(y) = \frac{5}{13}$

This means that,

$\sin(y) = \sqrt{1 - {( \frac{5}{13}) }^{2} } = \frac{12}{13}$

This is because,

$0 < \: x \: < \frac{\pi}{2}$

$0 < \: y \: < \frac{\pi}{2}$

This angles are in the first quadrant so we pick the positive values.

$\tan(x + y) = \frac{ \sin(x + y) }{ \cos(x + y) }$

$\tan(x + y) = \frac{ \sin(x ) \cos(y) + \sin(y) \cos(x) }{ \cos(x) \cos(y) - \sin(x) \sin(y) }$

$\tan(x + y) = \frac{ \frac{3}{5} \times \frac{5}{13} + \frac{12}{13} \times \frac{4}{5} }{ \frac{4}{5} \times \frac{5}{13} - \frac{3}{5} \times \frac{12}{13} }$

$\tan(x + y) = - \frac{63}{16}$

The correct answer is D

4 0

2 years ago

50 students live in a dormitory. The parking lot has the capacity for 30 cars. Each student has a car with probability 12 , inde

Maurinko [17]

Answer:

P(X is greater than 30) = 0.06

Step-by-step explanation:

Given that:

Sample proportion (p) = 0.5

Sample size = 30

The Binomial can be approximated to normal with:

$\mu = np = 50 \times 0.5 \\ \\ \mu= 25$