Question

Use the image to answer the question.

A coordinate plane shows the x-axis and the y-axis ranging from negative 5 to 5, in increments of 0.5 units, but labeled at every unit. An upward-opening parabola is plotted on the graph.
The lowest point on the parabola is labeled x-intercept slash vertex slash minimum and is marked at left parenthesis negative 1.5 comma 0 right parenthesis. A dotted vertical line, labeled axis of symmetry, passes through this point, from quadrant 2 to quadrant 3. A point labeled y-intercept is marked at left parenthesis 0 comma 4.5 right parenthesis. Other points marked on the parabola are left parenthesis negative 0.5 comma 2 right parenthesis, left parenthesis negative 1 comma 0.5 right parenthesis, left parenthesis negative 2 comma 0.5 right parenthesis, left parenthesis negative 2.5 comma 2 right parenthesis, and left parenthesis negative 3 comma 4.5 right parenthesis.


The parabola represents the graph of the quadratic function f(x)=2x^(2)+6x+4.5
. Which of the following describes the domain of this function?

(1 point)
Responses

x≤0

x is less than or equal to 0

x≥0

x is greater than or equal to 0

−∞<x<∞

negative infinity is less than x comma x is less than infinity

−1.5≤x≤0

negative 1.5 less-than-or-equal-to x less-than-or-equal-to 0

Answer 1

The domain is all real numbers: −∞ < x < ∞.

(Quadratic/polynomial functions are defined for every real x.)