Answer:
2x^4+4x^2+2
Step-by-step explanation:
f(x) = x^2+1
g(x) = 2x^2
g(f(x))=
Replace x in the function g(x) with the function f(x)
=2( x^2+1)^2
= 2( x^2 +2x^2 +1)
= 2x^4+4x^2+2
N the slope-intercept form you use the slope of the line and the y-intercept to express the linear function.
y=mx+b
y=mx+b
Where m is the slope and b is the y-intercept.
Example
Graph the equation
y−2x=1
y−2x=1
rewrite in slope-intercept form
y=2x+1
y=2x+1
Identify the slope and the y-intercept
m = 2 and b = 1
Plot the point corresponding to the y-intercept, (0,1)
picture23
The m-value, the slope, tells us that for each step to the right on the x-axis we move 2 steps upwards on the y-axis (since m = 2)
picture24
And once you have your second point you can just draw a line through the two points and extend it in both directions.
picture25
You can check to see that the line you've drawn is the correct one by substituting the coordinates of the second point into the original equation. If the equation holds true than the second point is correct.
Our second point = (1, 3)
y−2x=1
y−2x=1
3−2⋅1=3−2=1
3−2⋅1=3−2=1
Our second point is a solution to the equation i.e. the line we drew is correct.
A line that passes through the origin has a y-intersect of zero, b = 0, and represents a direct variation.
y=mx
y=mx
In a direct variation the nonzero number m is called the constant of variation.
You can name a function, f by using the function notion
f(x)=mx+b
f(x)=mx+b
f(x) is another name for y and is read as "the value of f at x" or "f of x". You can use other letters than f to name functions.
A group of functions that have similar characteristics are called a family of functions. All functions that can be written on the form f(x) = mx + b belong to the family of linear functions.
The most basic function in a family of functions is called the parent function. The parent function of all linear functions is
f(x)=x
Slope = 0 do answer is y = 1
Answer:
9
Step-by-step explanation:
The equation graphed from these points is y=3x+9, therefore the y-intercept is 9.
Answer:
44.81 feet
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
In the right triangle ACD
Find the length side AC (height of the small fire tower)
---> by TOA (opposite side divided by the adjacent side)
Solve for AC
step 2
In the right triangle ABE
Find the length side AB
---> by TOA (opposite side divided by the adjacent side)
solve for AB
step 3
How many feet off the ground is the squirrel?
Subtract the length side segment AB from the length side segment AC
so
