Understanding Zeros of Functions

The video tutorial explains how to find the zeros of various functions. It begins by defining a zero of a function and how it relates to the graph as an x-intercept. The tutorial then demonstrates solving for zeros in different functions: r(x) = -1 - 5x, q(x) = 5/2x - 40, g(x) = -2x - 2, and s(x) = 17 - 3/4x. It also explains why the constant function n(x) = 13 has no zeros, as it does not intersect the x-axis.

What is a zero of a function?

• An input that makes the function output infinity

• An input that makes the function output zero

• An input that makes the function output negative

• An input that makes the function output one

How do you find the zero of the function r(x) = -1 - 5x?

• Set r(x) to 5 and solve for x

• Set r(x) to 0 and solve for x

• Set r(x) to -1 and solve for x

• Set r(x) to 1 and solve for x

What is the zero of the function r(x) = -1 - 5x?

• x = -1/5

• x = -5

• x = 1/5

• x = 5

What is the first step to find the zero of q(x) = 5/2x - 40?

• Subtract 40 from both sides

• Divide both sides by 5/2

• Multiply both sides by 5/2

• Add 40 to both sides

What is the zero of the function q(x) = 5/2x - 40?

• x = -16

• x = 40

• x = 16

• x = -40

What is the zero of the function g(x) = -2x - 2?

• x = 2

• x = -2

• x = -1

• x = 1

Why does the function n(x) = 13 have no zeros?

• Because it is a horizontal line at y = 13

• Because it is a diagonal line

• Because it is a vertical line

• Because it crosses the x-axis

What is the first step to find the zero of s(x) = 17 - 3/4x?

• Divide both sides by 3/4

• Multiply both sides by 3/4

• Add 3/4x to both sides

• Subtract 17 from both sides

What is the zero of the function s(x) = 17 - 3/4x?

• x = 17/3

• x = -68/3

• x = -17/3

• x = 68/3

What is the reciprocal of 3/4 used in solving s(x) = 17 - 3/4x?

• 1/4

• 4/3

• 3/4

• 1/3