Question

Here is a table of values for y = f(x).

x -5 -3 0 2 6 7 9 10 13
f(x) 1 2 3 0 1 2 3 0 1

Mark the statements that are true.


a. f(0) = 10

b. The domain for f(x) is the set {-5, -3, 0, 2, 6, 7, 9, 10, 13}.

c. The range for f(x) is all real numbers.

d. f(-3) = 2

*** choose all that apply and please explain!!

Answer 1

the statements that are true.
b .The domain for f(x) is the set {-5, -3, 0, 2, 6, 7, 9, 10, 13}
d. f(-3) = 2

Answer 2

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

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:

x -5 -3 0 2 6 7 9 10 13

f(x) 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.