Question

Select the correct answer from each drop-down menu.

Consider the function shown on the graph.

Graph shows a function plotted on a coordinate plane. A curve begins at (minus 1, minus 3) in quadrant 3, rises through (0, minus 2), (3, minus 1), and (8, 0), and exits quadrant 1.

Complete the statements to make them true.

This is the graph of a
function.

The x-intercept of the function is at

Answer 1

Answer: 1. Square root

2.(8,0)

Explanation:

Answer 2

This is the graph of a nonlinear function. The x-intercept of the function is at (8, 0).

The given graph represents a nonlinear function, as the curve's shape suggests a relationship where the dependent variable does not vary proportionally with the independent variable. The curve starts in quadrant III at the point (-1, -3), ascends through points (0, -2), (3, -1), and (8, 0), and eventually exits quadrant I.

The x-intercept, where the curve intersects the x-axis, occurs at (8, 0). This point signifies the value of the independent variable at which the function equals zero. The graph's trajectory from quadrant III to quadrant I indicates a positive trend in the dependent variable as the independent variable increases.