Describe the end behavior of f(x) = 3x^4 + 8x^2 − 22x + 43
a) down on the left, down on the right
b) down on the left, up on the right
c) up on the left, down on the right
d) up on the left, up on the right

D) Up on the left, up on the right

Step-by-step explanation:

When looking at the end behavior, the only term that matters is the 3x^4 term

as x goes to negative infinity

3 *(- inf)^4 = 3 * positive number = positive infinity

so as x goes to negative infinity f(x) increases

as x goes to  infinity

3 *( inf)^4 = 3 * positive number = positive infinity

so as x goes to  infinity f(x) increases

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.