How do you do this function problem?

Question

Let the function g be defined by g = {(-2,4), (-1,1), (0,6), (1,-1), (2,8)}. Which of the following statements is true?

a) g(1) = g(-1)
b) g(2) g(-2) = 0
c) g(-2) = (1/2)g(2)
d) g(0) = g(1) g(-1)
e) g(g(-1)) = g(g(1))

How do you do that problem and function problems that give you sets of numbers, in general?

Answer 1

c) is the only true answer.



ordered pairs are given in the form (x,g(x)). This means that when you put in the first number of the ordered pair into the function, the result is the second number of the ordered pair



In your problem, the first one is false because g(1)= -1 [by the 4th ordered pair in your list] and g(-1)=1 [by the second ordered pair in your list], and thus g(1)does not equal g(-1).



c) is true because g(-2) =4 and g(2) = 8. Half of 8 is 4, thus half of g(2) is equal to g(-2).

Answer 2

If -3 is an x-intercept, then the function has (x+3) as a element (plugging x=-3 will supply f(-3)=0). yet another element is (x-a million) for our different intercept x=a million. Multiplying those 2 components provides a coefficient of a million for x² so which you would be able to desire to double it to get a=2. answer: f(x) = 2(x+3)(x-a million) = 2x² + 4x - 6.

Answer 3

g(1)=-1

g(-1)=1

a is 'not true'



b)g(2)=8

g(-2)=4

g(2)+g(-2)=12

not true



c)g(-2)=4

1/2 g(2)= 1/2(8) =4

true



d)g(0)=6

g(1)=-1

g(-1)=1

6=1+-1

false



e) g(g(-1)) = g(1)=-1

g(g(1))=g(-1)=1

false



The function has a pair. domain and range

(-2,4) means g(-2)=4

-2 in the domain and 4 in the range.

(2,8) means g(2)=8