Answer:
B. 4
Step-by-step explanation:
The given function is of the form:
A is called the amplitude of the given function.
We can read from the graph that, the function ranges between:
-4 and 4
This implies that:
Therefore the amplitude of the function is 4.
Hence the value of A must be 4.
Answer:
The solution for f(x) = g(x) are;
x = 1 and x = -1
Step-by-step explanation:
The given equations for the functions, g(x) are;
g(x) = 2 + x
The solution for f(x) = g(x), is given by equating the equations of the two functions as follows;
When f(x) = g(x), we have;
By cross multiplication, we have;
1 + 2·x = x × (2 + x) = 2·x + x²
∴ x² + 2·x - 2·x - 1 = 0
x² - 1 = 0
(x - 1)·(x + 1) = 0
x = 1, or x = -1
f(x) = g(x) = 2 + 1 = 3, or 2 - 1 = 1
Therefore, the solution for f(x) = g(x) are;
f(x) = g(x) = 3 or 1 where x = 1 and x = -1.
Answer:
<h2>a) center (2, -3)</h2><h2>b) radius r = 3</h2><h2>c) in the attachment</h2>Step-by-step explanation:
The standard form of an equation of a circle:
(h, k) - center
r - radius
We have:
a) center (2, -3)
b) radius r = 3
c) in the attachment
