Answer:
a) f(x) translated up 4 units ⇒ vertical moving
b) f(x) stretched vertically by scale factor 5
c) f(x) translated 3 units to the left ⇒ horizontal moving
d) f(x) stretched horizontally by scale factor 1/0.1 = 10
e) f(x) compressed horizontally by scale factor 1/3 and reflected
about the y-axis
Step-by-step explanation:
∵ f(x) = 1/x
a) ∵ g(x) = 1/x + 4
∴ f(x) moved up 4 units ⇒ vertical moving
b) ∵ g(x) = 5(1/x)
∴ f(x) stretched vertically by scale factor 5
c) ∵ g(x) = 1/(x + 3)
∴ f(x) moved 3 units to the left ⇒ horizontal moving
d) ∵ g(x) = 1/0.1x
∴ f(x) stretched horizontally by scale factor 1/0.1 = 10
e) ∵ g(x) = 1/-3x
∴ f(x) compressed horizontally by scale factor 1/3 and reflected
about the y-axis
The domain of any graph depends on the vertex as well as the asymptotes. You can easily tell if the domain is all real numbers by looking at the graph and seeing that it goes clearly from -infinity to +infinity. If there is an asymptote that blocks it, then it will not be all real numbers.
Answer:
216 cm^3
Step-by-step explanation:
I am assuming this is a right triangular prism
V = area of the base * height
We need to find the area of the triangular base
A triangle = 1/2 b*h
= 1/2 (12)4
= 24
Substituting this into the volume equation
V = 24 * 9
216 cm^3
Answer:
-17
Step-by-step explanation:
-6-11=-17
