SOLUTION: Evaluate f(x) = 3x5 – 5x3 + 2x2 + 6 for: a. x = 0 b. x = 2 c. x = -2 d. 2x

Algebra ->  Equations -> SOLUTION: Evaluate f(x) = 3x5 – 5x3 + 2x2 + 6 for: a. x = 0 b. x = 2 c. x = -2 d. 2x       Log On


   

Question 85188: Evaluate f(x) = 3x5 – 5x3 + 2x2 + 6 for:
a. x = 0
b. x = 2
c. x = -2
d. 2x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a.
f%28x%29=3x%5E5-5x%5E3%2B2x%5E2%2B6 Start with the given equation
f%280%29=3%280%29%5E5%2B-5%280%29%5E3%2B2%280%29%5E2%2B6 Plug in x=0
f%280%29=3%280%29%2B-5%280%29%2B2%280%29%2B6 Raise 0 to the respective exponent values
f%280%29=0%2B0%2B0%2B6 Multiply
f%280%29=6 Add

b.
f%28x%29=3x%5E5-5x%5E3%2B2x%5E2%2B6 Start with the given equation
f%282%29=3%282%29%5E5%2B-5%282%29%5E3%2B2%282%29%5E2%2B6 Plug in x=2
f%282%29=3%2832%29%2B-5%288%29%2B2%284%29%2B6 Raise 2 to the respective exponent values
f%282%29=96%2B-40%2B8%2B6 Multiply
f%282%29=70 Add

c.
f%28x%29=3x%5E5-5x%5E3%2B2x%5E2%2B6 Start with the given equation
f%28-2%29=3%28-2%29%5E5%2B-5%28-2%29%5E3%2B2%28-2%29%5E2%2B6 Plug in x=-2
f%28-2%29=3%28-32%29%2B-5%28-8%29%2B2%284%29%2B6 Raise -2 to the respective exponent values
f%28-2%29=-96%2B40%2B8%2B6 Multiply
f%28-2%29=-42 Add
d.
f%28x%29=3x%5E5-5x%5E3%2B2x%5E2%2B6 Start with the given equation
f%282x%29=3%282x%29%5E5%2B-5%282x%29%5E3%2B2%282x%29%5E2%2B6 Plug in x=2x
f%282x%29=3%2832x%5E5%29%2B-5%288x%5E3%29%2B2%284x%5E2%29%2B6 Raise 2x to the respective exponent values
f%282x%29=96x%5E5-40x%5E3%2B8x%5E2%2B6 Multiply