Jan says that a rhombus is a parallelogram and that every parallelogram is also a rhombus. Is Jan correct?
1 answer:
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Answer:
Height = 5 and Base = 10
Step-by-step explanation:
The base of the parallelogram is twice the perpendicular height of the parallelogram. The area of the parallelogram is 50 cm².
Formula for area of parallelogram = base × height
Base = 2h
Height = h
∴ Area = 2h × h = 50
Solution:
2h × h = 50
2h² = 50
h² = 25
h = 5
∴ height = 5 and base = 2(5) = 10
The function is a cube root function and the function end behavior is:
→
∞,
→
∞, and as
→ - ∞,
→
∞
- The end behavior of a function f defines the behavior of the function's graph at the "ends" of the x-axis.
- In other words, the end behavior of a function explains the graph's trend when we look at the right end of the x-axis (as x approaches +) and the left end of the x-axis (as x approaches ).
To determine the end behavior:
- The equation of the function is given as:
- To determine the end behavior, we plot the graph of the function f(x).
- We can see from the accompanying graph of the function:
- As x approaches infinity, so does the function f(x), and vice versa.
- As a result, the function end behavior is:
→
∞,
→
∞, and as
→ - ∞,
→
∞
Therefore, the function is a cube root function and the function end behavior is:
→
∞,
→
∞, and as
→ - ∞,
→
∞
Know more about functions' end behavior here:
#SPJ4
The complete question is given below:
What is the end behavior of the function f of x equals negative 4 times the cube root of x?
As x → –∞, f(x) → –∞, and as x → ∞, f(x) → ∞.
As x → –∞, f(x) → ∞, and as x → ∞, f(x) → –∞.
As x → –∞, f(x) → 0, and as x → ∞, f(x) → 0.
As x → 0, f(x) → –∞, and as x → ∞, f(x) → 0.
