Janelle has 3.6 yards of wire, which she wants to use to make bracelets. She needs 0.3 yard for each bracelet. Altogether, how m
1 answer:
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Answer:
a) f(x) = x² -9
function is an even function
b) g(x) = |x -3|
function is an even function
c) f(x)= x / x²-1
function is odd function
d) g(x) = x + x²
Given function is not an even not odd function
This function is neither even or odd
Step-by-step explanation:
<u><em>Explanation</em></u>:-
a) Given f(x) = x² -9
<u><em>Even function </em></u>
If f(-x) = f(x) , then the function is even function.
f(-x) = (-x)² -9
= x² -9
= f(x)
f(-x) = f(x)
∴ Given function is an even function
b)
Given g(x) = |x -3|
<u><em>Even function </em></u>
If g(-x) = g(x) , then the function is even function.
g(-x) = |-(x-3)|
= |x-3|
g(-x) = g(x)
∴ Given function is an even function
c)
<u><em>odd function</em></u>
If f(-x) =- f(x) , then the function is odd function.
f(-x) =
= -f(x)
f(-x) = -f(x)
∴ Given function is odd function
d)
If g(-x) = g(x) , then the function is even function.
g(x) = x + x²
g(-x) = -x + (-x)²
= - (x - x²)
This is not either even or odd function
∴ Given function is neither function
Answer:
If the input is n then the output f(n) will be 4n - 8.
Step-by-step explanation:
Let the input of the function is denoted by x and the output is denoted by y.
Then, two ordered pairs of the linear function i.e.(x,y) are (2,0) and (3,4).
Therefore, the relation between x and y i.e. the equation of the straight line will be given by
⇒ y - 4 = 4(x - 3)
⇒ y = 4x - 8
⇒ f(x) = 4x - 8
Therefore, if the input is n then the output f(n) will be 4n - 8. (Answer)