Question

What is the range of f(x)=−3x+4

A. the set of real numbers less than 0
B. the set of real numbers less than 4
C. the set of real numbers greater than 4
D. the set of real numbers greater than 0

Answer 1

The range of the function f(x) = -3x + 4 is -56 ≤ y ≤ 4

Step-by-step explanation:

The range of the function f(x) = -3x + 4 can be determined by finding the minimum and maximum values of the function. Since the coefficient of x is negative, the graph of the function is a downward-sloping line. The slope of the line tells us that the function decreases by 3 units for every 1 unit increase in x.

To find the minimum value, we can set x to its largest possible value, which is 20 in this case. Plugging 20 into the function gives us f(20) = -3(20) + 4 = -60 + 4 = -56. Therefore, the minimum value of the function is -56.

To find the maximum value, we can set x to its smallest possible value, which is 0. Plugging 0 into the function gives us f(0) = -3(0) + 4 = 0 + 4 = 4. Therefore, the maximum value of the function is 4.

Since the range of a function is the set of all possible output values, we can say that the range of f(x) = -3x + 4 is -56 ≤ y ≤ 4.

Answer 2

I think it’s b not sure tho