Simplify the following expression.

Which piecewise function is shown in the graph?

mash [69]

Based on the characteristics of linear and piecewise functions, the piecewise function $f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$ is shown in the graph attached herein. (Correct choice: A)

<h3>How to determine a piecewise function</h3>

In this question we have a graph formed by two different linear functions. Linear functions are polynomials with grade 1 and which are described by the following formula:

y = m · x + b (1)

Where:

x - Independent variable.
y - Dependent variable.
m - Slope
b - Intercept

By direct observation and by applying (1) we have the following piecewise function:

$f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$

Based on the characteristics of linear and piecewise functions, the piecewise function $f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$ is shown in the graph attached herein. (Correct choice: A)

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1

3 0

1 year ago

Divide. Write the quotient in lowest terms, 1 1/3 divided by 1 3/4. Please give a thorough explanation as i need help to figure

GaryK [48]

Answer:

Step-by-step explanation:

convert mixed fractions to improper fractions

rule=a b/c=(ac+b)/c

(1 1/3)/(1 3/4)

(4/3)/(7/4)

rule for dividing fractions=(a/b)/(c/d)=(a/b)(d/c)

(4/3)(4/7) then you can multiply the numerators and denominators

16/21

7 0

2 years ago

Of 10 Simplify -2x³ – y – 2z² + 4x³ – 2y + 3z²

bonufazy [111]

Answer:

2x³ - 3y + z²

Step-by-step explanation:

-2x³ – y – 2z² + 4x³ – 2y + 3z² Combine like terms

-2x³ + 4x³ – y – 2y – 2z² + 3z²

2x³ - 3y + z²

5 0

2 years ago

pls help look at attached image choose any problem u would like to do this is for my middle school math class again pls help and

Sonbull [250]

Can you take a picture again I can’t see anything

3 0

2 months ago

Read 2 more answers

I have 12 tiles, 3 red, 6 green, and 3 blue. What's the probability in decimal form that I pick a green tile out of the bag?

Bond [772]

You have a 50% chance of picking a green tile so your answer would be 0.5

6 0

2 years ago