A. One possible equation for f(x) that satisfies the data table is:
f(x) = 2x - 1
To demonstrate that this equation satisfies the data points in the table:
f(1) = 2(1) - 1 = 1
f(2) = 2(2) - 1 = 3
f(3) = 2(3) - 1 = 5
f(4) = 2(4) - 1 = 7
The function does satisfy the data points in the table.
To determine if the function is even, odd, or neither, we can analyze its symmetry. In this case, f(x) = 2x - 1 is neither even nor odd because it does not satisfy the conditions for even or odd functions.
B. The range of the function f(x) = 2x - 1 is all real numbers, as the function continues infinitely in both directions. However, the output values are always one less than a multiple of 2, so the range can be expressed as [-1, ∞).
The domain of f(x) is [0, ∞) and
x 1 2 3 4
f(x) 1
2
1
5
1
10
1
17
A. Find an equation for f(x) that satisfies the domain requirements and the data table.
Demonstrate that your function satisfies the data points in the table. Is your function even,
odd, or neither?
B. What is the range of your function?
1 answer