zeros of functions

What is the quadratic formula?

• x = (-b ± √(b² - 4ac)) / (2a)

• x = (b ± √(b² + 4ac)) / (2a)

• x = (-b ± √(b² + 4ac)) / (2a)

• x = (b ± √(b² - 4ac)) / (2a)

What does it mean for a function to have multiple zeros?

• A function has multiple zeros if there are more than one x-values that make the function equal to zero, indicating multiple points of intersection with the x-axis.

• A function has multiple zeros if it is defined for all real numbers and has no restrictions.

• A function has multiple zeros if it is a polynomial of degree one or higher.

• A function has multiple zeros if it oscillates between positive and negative values without crossing the x-axis.

What is the zero of the function f(x) = 5x - 20?

• 2

• 3

• 4

• 5

What is the zero of the function f(x) = x^2 - 9?

• x = 3

• x = -3

• x = 0

• x = 9

What is the significance of the zeros of a function in graphing?

• They indicate where the graph crosses the x-axis, which helps in sketching the graph.

• They represent the maximum points of the graph.

• They show the minimum values of the function.

• They determine the slope of the graph.

What is a quadratic function?

• A polynomial function of degree 1, typically in the form f(x) = ax + b.

• A polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.

• A polynomial function of degree 3, typically in the form f(x) = ax^3 + bx^2 + cx + d.

• A linear function represented by a straight line on a graph.

What does it mean if a function has no zeros?

• The function intersects the x-axis at multiple points.

• The function has at least one real number input that results in zero.

• The graph does not intersect the x-axis, indicating that the function does not take the value of zero for any real number input.

• The function is constant and equal to zero for all inputs.

What is the zero of the function f(x) = 2x + 4?

• -2

• -4

• 0

• 2

How do you find the zeros of a quadratic function?

• By using the derivative

• By factoring, completing the square, or using the quadratic formula

• By graphing the function

• By substituting values into the function

How do you find the zeros of a linear function?

• Set the function equal to zero and solve for x.

• Differentiate the function and find critical points.

• Graph the function and identify the x-intercepts.

• Use the quadratic formula to find the roots.