can someone plz help me this is my last day of school and i need help i will medal

Question

can someone plz help me  this is my last day of school and i need help  i will medal

anonymous · Answer

ok

anonymous · Answer

Esmeralda and Heinz are working to graph a polynomial function, f(x). Esmeralda says that the third degree polynomial has four intercepts. Heinz argues that the function only crosses the x axis three times Is there a way for both of them to be correct? Explain your answer

anonymous · Answer

"Esmeralda says that the third-degree polynomial has four intercepts."
A third-degree polynomial has at the most three real roots and so it can cross the x-axis at the most three times.  So max. x-intercepts is 3.  
But here it says four intercepts which could include BOTH x and y intercepts.  So both could be correct. IF Esmeralda said: "the third-degree polynomial has ** four X intercepts **" 
then Esmeralda will be wrong and Heinz will be correct.

anonymous · Answer

oh ok that makes sense   do you think that you could help me with one more?

anonymous · Answer

Yes

anonymous · Answer

Heinz has a list of possible functions. Pick one of the g(x) functions below, show how to find the zeros, and then describe to Heinz the other key features of g(x)
$$g(x)=x^3-x^2-4x+4$$$$g(x)=x^3+2x^2-9x-18$$$$g(x)=x^3-3x2-4x+12$$$$g(x)=x^3+2x^2-25x-50$$$$g(x)=2x^3+14x^2-2x-14$$

anonymous · Answer

@SneliS

anonymous · Answer

Take the first function  g(x)=x 3 –x 2 –4x+4 
Graph it and find where it crosses the x-axis and those will be the roots or zeros of g(x).
You can use this online graphing website.  Type x^3 – x^2 – 4x + 4 on the left column and it will plot it for you.

anonymous · Answer

use this https://www.desmos.com/calculator

anonymous · Answer

ok thx but what does it mean about the other key features?

anonymous · Answer

hold on did u use the calculator if so what did u get?

anonymous · Answer

(-2,0)   (1,0)  and (2,0)

anonymous · Answer

@Hero @Preetha @Michele_Laino @Abhisar @Australopithecus   can u plz help me with this last part

anonymous · Answer

f(x) means function of x.  The value of f depends on the value of x.
f(x) = x + 2
Here, the left hand side f depends on the value of x.
If x = 1, f(1) = 3.  If x =2, f(2) = 4, If x = 5, f(5) = 7.

g(x) is just another function of x.

When plotting the f(x) or g(x) will be along the y-axis and the x will be along the x axis.

anonymous · Answer

ok but what are the key features of g(x) @SneliS

anonymous · Answer

@SneliS

anonymous · Answer

idk?? honestly

anonymous · Answer

oh ok thats cool  thx anyway tho