Question

Please help! Fan and Medal!
Consider the graph of f(x) below.
https://wca.sooschools.com/media/g_alg02_ccss_2014/9/img_g_alg02u09c03l20d_03.gif


Write the equation of f(x), and classify the function as linear, quadratic, cubic, exponential, or logarithmic.

Answer 1

First step - finding out what type of graph it is. Can we eliminate any of them?

Answer 2

Its deffinitely not linear or exponential @sloppycanada

Answer 3

I think its cubic

Answer 4

Can you give me a reason as to why it would be logarithmic?

Answer 5

I really dont know @sloppycanada

Answer 6

ik this ill help

Answer 7

with that shape, it is ALWAYS a cubic

Answer 8

with the positive coefficient of x^3

Answer 9

Hence, the standard formula is \(f(x) =ax^3+bx^2+cx +d\)

Answer 10

All you need is picking 4 special points to plug into the standard form.
Hint: pick x -intercept and y intercept points

Answer 11

gtfo loser you can help nobody

Answer 12

I do one for you as example:

Answer 13

do you have a calculator?

Answer 14

Madison.bush ?

Answer 15

its not linear

Answer 16

the first x-intercept is (-1,0) , that is x =-1, y =0
hence plug in, you have \(0= a(-1)^3 +b*(-1)^2+c(-1) +d\)

Answer 17

Yes i do have a calculator @adriangomez

Answer 18

so it is cubic

Answer 19

we just need to find a equation im i correct

Answer 20

Do the same with other points to get 4 equations and solve for a, b, c , d
Btw, calculator is helpless here. No way to find the equation of it by calculator.

Answer 21

Okay thank you @Loser66

Answer 22

just put the numbers in and trace it @madison.bush

Answer 23

on calculator