Question

Question 2 of 10

What can you say about the y-values of the two functions f (x) = 3² - 3
and g(x) = 7x² - 3?
A. The minimum y-value of f(x) is -3.
B. f(x) has the smallest possible y-value.
C. g(x) has the smallest possible y-value.
D. The minimum y-value of g(x) is -3.

Answer 1

Explanation:

A. The minimum y-value of f(x) is -3.

D. The minimum y-value of g(x) is -3.

Answer 2

The minimum y-value of f(x) is -3.

Explanation:

To find the minimum y-value of f(x), we can plug in a value of x that will make the y-value as small as possible. In this case, we can plug in x = 0 to get f(0) = 3² - 3 = 0. Since 0 is the smallest possible value for f(x), the minimum y-value of f(x) is 0.

Similarly, we can find the minimum y-value of g(x) by plugging in a value of x that will make the y-value as small as possible. In this case, we can again plug in x = 0 to get g(0) = 7 * 0² - 3 = -3. Since -3 is the smallest possible value for g(x), the minimum y-value of g(x) is -3.

Therefore, the correct answer is option A: "The minimum y-value of f(x) is -3."