Answer: a Line going up and down
Step-by-step explanation:
Answer:
D, 22x^9
Step-by-step explanation:
Here's a key for end behavior: Look at the leading term
x^even = x -> neg inf, f(x) -> pos inf; x -> pos inf, f(x) -> pos inf
-x^even = x -> neg inf, f(x) -> neg inf; x -> pos inf, f(x) -> neg inf
x^odd = x -> neg inf, f(x) -> neg inf; x -> pos inf, f(x) -> pos inf
-x^odd = x -> neg inf, f(x) -> pos inf; x -> pos inf, f(x) -> neg inf
In the form of algebra substitution is the method used in simultaneous equations.
E.g y=2x+5 and y=5x-1
Solve for x and y
Since we know two examples of what y is, we can substitute one y in replacement of the other to get.
2x+5=5x-1 then we solve for x to get:
x = 2 sub this back in to get y = 2(2) +5
y = 9
Compairing g(x) with f(x), we can write:
To get g(x) f(x) is:
1) Multiplied by -1.
This implies the f(x) is reflected over x-axis
2) Addition of 4 to x
This implies f(x) is shifted 4 units to left
3) Subtraction of 2 to function value.
This implies f(x) is shifted down by 2 units.
So, we can write g(x) as:
g(x) = -f(x+4) - 2
So, the correct answer to this question is option A.
Shift 4 units left, reflect over x axis and shift 2 units down
