State the end behavior of the function f(x) = 9X
As x → Negative Infinity, f(x) → ?
As x → Infinity, f(x) →?

Set up two limits of the function

This answer makes sense because f(x) has a positive correlation with x. This means as x increases so does f(x). If we make x infinitely negative, f(x) will also get infinitely negative. Same logic for driving x to positive infinity.

Also, just look at the graph of f(x)=9x. We can see that is a continuous function that grows without bounds. So, it makes sense that if x goes to infinity so will the function and if x goes to -infinity the function will go to -infinity.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi