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) f(−3)=2
c) The range for f(x) is all real numbers.
d) The domain for f(x) is the set {−5,−3,0,2,6,7,9,10,13}.

Answer 1

In the given table of values for y=f(x), we can determine which statements are true by comparing the x-values with their corresponding y-values.

Step-by-step explanation:

In the given table of values for y=f(x), we can determine the statements that are true by matching the x-values with their corresponding y-values.

a) f(0)=10: This is false because the y-value for x=0 is 3, not 10.

b) f(−3)=2: This is true because the y-value for x=-3 is indeed 2.

c) The range for f(x) is all real numbers: This is false because the range of f(x) in the table is only {0, 1, 2, 3}.

d) The domain for f(x) is the set {−5,−3,0,2,6,7,9,10,13}: This is true because the given x-values in the table form the domain of the function.