Hi I’m new and I need help as soon as possible please

Question

1.) Use finite differences to identify the degree of the polynomial that best describes the data.

 

`A.) quartic

B.) quintic

C.) quadratic

D.) cubic

 

2.) The table shows the number of a particular brand of luxury cars sold in various years. Use a calculator to write a quartic model for the number of cars sold in a given year since 2000 and use the model to estimate the number of cars sold in 2005.

 

 

A.) P(x) ≈ −38.23x3 + 56.86x2 + 1098.23x + 557.48

The estimated number of cars sold in 2005 is 2,691.

 

B.) P(x) ≈ 6.04x4 − 135.32x3 + 698.78x2 − 228.48x + 247.95

The estimated number of cars sold in 2005 is 3,432.

 

C.) P(x) ≈ 6.04x4 − 111.18x3 + 329.04x2 + 787.26x + 588.97

The estimated number of cars sold in 2005 is 2,626.

 

D.) P(x) ≈ −38.23x3 + 56.86x2 + 1098.23x + 557.48

The estimated number of cars sold in 2005 is 3,413.

3.) Identify the function that reflects f(x) = 7x3 − 9 across the y-axis and shifts it 5 units down.

 

A.) h(x) = 7x3 − 14

B.) h(x) = −7x3 − 14

C.) h(x) = 7x3 − 4

D.) h(x) = −7x3 − 4

 

Hi can Please explain and solve thank you for your help

Answer 1

1 C. quadratic. Just sketch the points. It looks like an upward opening parabola, which is quadratic Just one turning area.

2 A just look at the constant terms. You want a number between 2004 and 2006, that's between 3399 and 2626. Only A has that, 2691

3 B -7x^3 -14. -7 reflects, -14 moves it down 5 from -9