Question

Which function has fewer zeros?

A) y=4x−5
B) y=3x ² −8x+3
C) y=4
D) All of the choices have an equal number of zeros.

Answer 1

Option C, y=4, is a constant function with no zeros as it does not intersect the x-axis. Hence, it has fewer zeros than the linear function A and potentially the quadratic function B.

Step-by-step explanation:

The question pertains to the comparison of the number of zeros among different functions. Zeros of a function are the points where the function's value is zero, typically found by setting the function equal to zero and solving for the variable. Now let's analyze the given functions:

• A) y=4x−5 is a linear function with one zero.
• B) y=3x²−8x+3 is a quadratic function that typically has two zeros, unless the discriminant is zero which would result in one zero or negative which would result in no real zeros.
• C) y=4 is a constant function with no zeros since it never intersects the x-axis.
• D) All of the choices have an equal number of zeros is incorrect because the constant function does not have any zeros, unlike the linear and quadratic functions.

Given this information, C) y=4 has fewer zeros compared to others since it does not touch the x-axis at all, meaning it has no zeros.