Final answer:
The function with fewer zeros among the given choices is y = 4x - 5.
Step-by-step explanation:
In this question, you are asked which function among the given choices has fewer zeros. A zero of a function is a value of x that makes the function equal to zero. Let's go through each function to determine their zeros:
A. y = 4x - 5: To find the zero of this linear function, we set y equal to zero and solve for x: 0 = 4x - 5 → 4x = 5 → x = 5/4. So, this function has one zero.
B. y = 3x^2 - 8x + 3: This quadratic function can be factored as (3x - 1)(x - 3). Setting this equation equal to zero, we get: 3x - 1 = 0 → x = 1/3, and x - 3 = 0 → x = 3. So, this function has two zeros.
C. y = 4: This function is a horizontal line with a constant value of 4. It never equals zero, so it has no zeros.
Based on our analysis, function A has fewer zeros than function B, and neither of them has fewer zeros than function C. Therefore, the correct answer is A. y = 4x - 5.