Help Me, Please
Here is a table of values for y = f(x).
x: 0, 5, 10, 15, 20, 25, 30, 35, 40
f(x): 5, 6, 7,8, 9, 10, 11, 12, 13
Mark the statements that are true.
A. f(5) = 6
B. The domain for f(x) is the set {5, 6, 7, 8, 10, 11, 12, 13}.
C. The range for f(x) is all real numbers.
D. f(15) = 8
A is true because the 2nd entry for x is 5, and the 2nd entry for f(x) = 6
Now for the others,
the domain is the set of x values.
The range is the set of f(x) values.
D is just like A.
That should help some.
okay, thanks!
To determine which statements are true, let's analyze the given table of values for y = f(x):
x: 0, 5, 10, 15, 20, 25, 30, 35, 40
f(x): 5, 6, 7, 8, 9, 10, 11, 12, 13
Statement A: f(5) = 6
To check if this statement is true, we need to find the value of f(5) in the table. Looking at the table, we see that when x is 5, f(x) is 6. Therefore, statement A is true.
Statement B: The domain for f(x) is the set {5, 6, 7, 8, 10, 11, 12, 13}.
The domain of a function refers to the set of possible x-values for which the function is defined. In this case, the given table of values includes x-values ranging from 0 to 40. However, the function is only defined for the x-values in the table, which are 0, 5, 10, 15, 20, 25, 30, 35, and 40. Therefore, statement B is false. The domain for f(x) is actually the set {0, 5, 10, 15, 20, 25, 30, 35, 40}.
Statement C: The range for f(x) is all real numbers.
The range of a function refers to the set of possible y-values the function can produce. In the given table, the smallest value of f(x) is 5, and the largest value is 13. Therefore, f(x) only takes on values within the range of 5 to 13. It does not cover all real numbers. Statement C is false.
Statement D: f(15) = 8
To check if this statement is true, we need to find the value of f(15) in the table. Looking at the table, we see that when x is 15, f(x) is indeed 8. Therefore, statement D is true.
In summary, the true statements are A (f(5) = 6) and D (f(15) = 8).
To determine which statements are true, let's analyze the given table of values for y = f(x):
x: 0, 5, 10, 15, 20, 25, 30, 35, 40
f(x): 5, 6, 7, 8, 9, 10, 11, 12, 13
Now, let's check each statement:
A. f(5) = 6: Comparing the given values, we can see that f(5) = 6 is true because the y-value of f(5) is indeed 6.
B. The domain for f(x) is the set {5, 6, 7, 8, 9, 10, 11, 12, 13}: To find the domain, we look at all the x-values in the table. The x-values are {0, 5, 10, 15, 20, 25, 30, 35, 40}. So, statement B is false. The correct domain for f(x) is the set {0, 5, 10, 15, 20, 25, 30, 35, 40}.
C. The range for f(x) is all real numbers: To determine the range, we need to look at all the y-values in the table. The y-values are {5, 6, 7, 8, 9, 10, 11, 12, 13}. Since all the y-values are real numbers, statement C is true.
D. f(15) = 8: Comparing the given values, we can see that f(15) = 8 is true because the y-value of f(15) is indeed 8.
Based on our analysis, the correct statements are A and D.