An odd function f is one where . We can interpret this is meaning: reflecting the graph horizontally has the same effect as reflecting it vertically . The only graphs that meet this requirement are ones with reflectional symmetry across the line y = x, so we can immediately elimate the functions and , which have horizontal symmetry, but not the kind of symmetry we're looking for.
That leaves us with and . One feature of exponents we can utilize is that -1 to an even power is 1, while -1 to an odd power is -1. If we want , we need to flip the signs of all the coefficients, and we can only do that if all the powers of x are odd. The only function with only odd powers of x is , and plugging in -x to the function reveals that
So the only odd function on the list!
Answer from: Quest
faster, im not sure why but i know it is faster
Answer from: Quest
soo this can be solve by using the formula:
f = p( 1 + i)^ n
where f is the future profit
p is the initial profit
i is the percent increase
n is the number of years
a . f = 30000 ( 1.05)^n
b. f = 30000 ( 1.05)^15
f = $62,368
Another question on Mathematics
Mathematics, 21.06.2019 17:30
One line passes through (-7,-4) and (5,4) . another line passes through the point (-4,6) and (6,-9)
Use the quadratic formula to solve the equation. if necessary, round to the nearest hundredth. x^2 - 23 = 10x a. -1.93, 11.93 b. 1.93, -11.93 c. 1.93, 11.93 d. -1.93, -11.93