Question

svlc algebra 1a - standard (15260)
representing relationships
graph of a parabola opening upwards with vertex at (2, -3), y-intercept at (0, 1), and x-intercepts near -0.5 and 4.5
what is the range of the function on the graph?
all the real numbers greater than or equal to -3
all the real numbers greater than or equal to 0
all the real numbers greater than or equal to 2
all the real numbers

Explanation:

Step1: Recall the definition of range

The range of a function is the set of all possible output values (y - values) the function can take. For a graph, we look at the vertical extent of the graph.

Step2: Analyze the given parabola graph

The graph is a parabola opening upwards. The vertex (minimum point) of the parabola is at \( y=- 3\) (since the lowest point on the graph has a y - coordinate of - 3). Since the parabola opens upwards, the y - values of the function start from - 3 and go to positive infinity. So the range of the function is all real numbers greater than or equal to - 3.

Answer:

all the real numbers greater than or equal to \(-3\)