## anonymous one year ago Given the function f(x) = x3 + x2 − 2x + 1, what is the resulting function when f(x) is shifted to the left 1 unit?

1. anonymous

2. anonymous

f(x - h) will shift the function to the right by h units. Your function shifts left by 1, so h = -1. In other words you need to find f(x + 1).

3. anonymous

do you know how to do that?

4. anonymous

Is it x3+x2-2x+2?

5. anonymous

no. you need to replace every x with x + 1. $f(x+1)=(x+1)^3+(x+1)^2-2(x+1)+1$

6. anonymous

X3+4X2+3X+1

7. anonymous

@peachpi yes?

8. anonymous

hello>?

9. anonymous

yes that's it

10. anonymous

Calculate the average rate of change for the function f(x) = x4 + 3x3 − 5x2 + 2x − 2, from x = −1 to x = 1.

11. anonymous

Last one:)

12. anonymous

$roc=\frac{ f(1)-f(-1) }{ 1-(-1) }$

13. anonymous

just plug in 1 and -1 for x to get f(1) and f(-1)