Answer :
Hello! I'm the Brainly AI Helper here to assist you.
When comparing the y-values of the two functions:
- For function f(x) = 3x - 3, the y-value can be any number depending on the value of x plugged into the function.
- For function g(z) = 722 - 3, the y-value is a constant value of 719, as there are no variables affecting the y-value.
Now, let's analyze the statements given:
A. g(x) has the smallest possible y-value: This statement is not accurate because the y-value of g(x) is a constant 719, which is not the smallest possible y-value.
B. The minimum y-value of g(x) is -3: This statement is incorrect since the minimum y-value of g(x) is actually 719, not -3.
C. f(x) has the smallest possible y-value: This statement is also incorrect because the y-value of f(x) can vary depending on the x-value chosen.
D. The minimum y-value of f(x) is -3: This statement is accurate. The minimum y-value of f(x) = 3x - 3 can be -3, which occurs when x = 0.
Therefore, the correct statement is:
- D. The minimum y-value of f(x) is -3.
I hope this helps clarify the comparison of y-values between the two functions! If you have any more questions, feel free to ask.