Understanding Horizontal Intercepts

This video tutorial explains how to determine the horizontal intercepts of various functions, including quadratic, linear, and square root functions. It covers the concept of setting the function value to zero and solving for the input variable, typically x. The video provides examples for each type of function and verifies the solutions graphically.

What is the value of the function at a horizontal intercept?

• The function value is always one.

• The function value is always positive.

• The function value is always negative.

• The function value is always zero.

How do you determine the horizontal intercepts of a function?

• Set the input variable to zero and solve for the output.

• Set the output to zero and solve for the input variable.

• Set the derivative of the function to zero.

• Set both input and output to zero.

What are the horizontal intercepts of the quadratic function f(x) = x^2 + 3x - 10?

• (0, -5) and (0, 2)

• (5, 0) and (-2, 0)

• (10, 0) and (-3, 0)

• (-5, 0) and (2, 0)

What is the first step in finding the horizontal intercept of the linear function f(x) = 5x + 7?

• Divide both sides by 5.

• Add 7 to both sides.

• Multiply both sides by 5.

• Subtract 7 from both sides.

What is the horizontal intercept of the linear function f(x) = 5x + 7?

• (-7/5, 0)

• (0, 7/5)

• (7/5, 0)

• (0, -7/5)

How do you solve for x in the equation 0 = √(36 - 3x) to find the horizontal intercept?

• Take the square root of both sides.

• Square both sides of the equation.

• Multiply both sides by 3.

• Add 36 to both sides.

What is the horizontal intercept of the function f(x) = √(36 - 3x)?

• (-12, 0)

• (12, 0)

• (0, -12)

• (0, 12)

What is the horizontal intercept of the function f(x) = √(2x - 8)?

• (0, -4)

• (0, 4)

• (4, 0)

• (-4, 0)

What is the purpose of graphically verifying horizontal intercepts?

• To change the intercepts.

• To check if the intercepts are on the vertical axis.

• To find new intercepts.

• To ensure the intercepts are correctly calculated.

What is the ordered pair for the horizontal intercept of the function f(x) = √(2x - 8)?

• (4, 0)

• (0, 4)

• (-4, 0)

• (0, -4)