Identifying Positive and Negative Intervals of f(x)

What does f(x) > 0 signify on a graph?

• x-values are negative

• y-values are zero

• y-values are positive

• y-values are negative

Where on the graph is f(x) < 0 in a linear function?

• Above the x-axis

• At the x-intercept

• None of the above

• Below the x-axis

What is the significance of x-intercepts in analyzing a function's graph?

• Indicate points where f(x) = 0

• None of the above

• Indicate points where f(x) > 0

• Indicate highest y-values

In a quadratic function, where is f(x) negative?

• At every x-intercept

• Outside the x-intercepts

• Between the x-intercepts

• Nowhere

How do you describe the intervals of f(x) > 0 for a quadratic function?

• Between the x-intercepts

• From negative infinity to first x-intercept

• None of the above

• From each x-intercept to infinity

What happens to a parabola that sits right on the x-axis?

• It is undefined

• It touches but does not cross the x-axis

• It stays above the x-axis

• It dips below the x-axis

If f(x) is asked to be greater than zero, which intervals are correct?

• Negative infinity to positive infinity

• From each x-intercept to infinity

• Between the x-intercepts

• From negative infinity to each x-intercept

What does an x-intercept represent on a function's graph?

• Zero value of f(x)

• Minimum value of f(x)

• Maximum value of f(x)

• Undefined value of f(x)

How do you determine the intervals where f(x) < 0 in a parabola?

• None of the above

• At the x-intercepts

• Outside the x-intercepts

• Between the x-intercepts

What is the correct interval notation for a function that is above the x-axis from an x-intercept at 5 to infinity?

• (5, ∞)

• [5, ∞)

• (5, ∞]

• None of the above