Question

Consider the graph of f(x) below.

https://northbranchsd.owschools.com/media/o_advalg_2015/2/img_g_alg02u09c03l20d_03.gif

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

Answer 1

@chris00

Answer 2

@DanJS @Lily2913 @triciaal

Answer 3

i dont think those tag mssgs are working

Answer 4

for sure not linear

Answer 5

then how you tag then

Answer 6

not sure, prolly will be fixed soon hopefully

Answer 7

ok

Answer 8

since it has 3 zero's then we would quite happily assume it is a cubic polynomial

Answer 9

why you have to put the +b ?

Answer 10

yea my bad

Answer 11

y=a(x+1)(x-1)(x-3)

then we know the y-intercept occurs at (0,3) so substitute that into the equation

Answer 12

solve for a, and you should be right.

3=a(1)(-1)(-3)

Answer 13

clearly a=1 so your function is just y=(x+1)(x-1)(x-3)

Answer 14

zeroes don't give you the order all the time do they

Answer 15

depends if you can submit your answer like that our you have to expand it out. which one is required?

Answer 16

nah they don't, this case it does

Answer 17

Just what the expression of f(x) and classify the function.

Answer 18

The teacher will look at what I typed for the equation.

Answer 19

i would probably leave it as f(x)=(x+1)(x-1)(x-3) so it tell her you know that for this case, the zero's make up the cubic polynomial

Answer 20

up to you

Answer 21

yes, may want to expand that out, since you are classifying the thing,, idk

Answer 22

ax^3 + bx^2 + cx + d