Answer:
The correct statements are:
- b)The domain for f(x) is the set {-5, -3, 0, 2, 6, 7, 9, 10, 13}.
- d) f(-3) = 2
Step-by-step explanation:
We are given a table of the set of value of x and the corresponding function value y=f(x) at different values of x.
The table is:
<u>
x</u> -5 -3 0 2 6 7 9 10 13
<u>f(x)</u> 1 2 3 0 1 2 3 0 1
a)
f(0) = 10.
This statement is false.
As from the table we could see that the value of the function when x=0 is 3.
i.e. f(0)=3.
b)
The domain for f(x) is the set {-5, -3, 0, 2, 6, 7, 9, 10, 13}.
The domain is the set of values at which function is defined i.e. the x-values.
Hence this statement is true.
c)
The range for f(x) is all real numbers.
The range of a function is the corresponding function values at different x.
from the table we have range of function f(x) to be:
{1,2,3,0,1,2,3,0,1}.
Hence, this statement is false.
d)
f(-3) = 2.
From the table we could see that the value of f corresponding to x= -3 is 2.
i.e. f(-3)=2.
Hence, this statement is true.
