Autumn is thinking about buying a car for $38,000. The table below shows the projected value of two different cars for three years, Part A: What type of function, linear or exponential can be used to describe the value of each of the cars after a fixed number of years? Explain your answer. Part B write the function for each car to describe the value of the car f(x), in dollars, after x years.

Part C Autumn wants to purchase a car that would have the greatest value in 4 years. Will there be any significant difference in the value of either car after 4 years? Explain your answer

Demonstrate the proof of your new polynomial identity through an algebraic proof and a numerical proof in an engaging way! make it so the whole world wants to purchase your polynomial identity and can't imagine living without it! you must: label and display your new polynomial identity prove that it is true through an algebraic proof, identifying each step demonstrate that your polynomial identity works on numerical relationships create your own using the columns below. see what happens when different binomials or trinomials are combined. square one factor from column a and add it to one factor from column b to develop your own identity. column a column b (x − y) (x2 + 2xy + y2) (x + y) (x2 − 2xy + y2) (y + x) (ax + b) (y − x) (cy + d)

What is the range of the function? f(x)=-2|x+1|? a. all real numbers. b. all real numbers less than or equal to 0. c. all real numbers less than or equal to 1. d. all real numbers greater than or equal to 1

Can someone me with #s 8, 9, and 11. with just one of the three also works. prove using only trig identities.