Use graphing technology to find the range of the function f(x)=-x^2+6x-3

The range of the function is [-∞,6]

Step-by-step explanation:

Range of a Function

It's the set of values the function takes when x moves into the function's domain.

It can be graphically determined by placing imaginary horizontal lines from minus infinite to plus infinite. Where the line meets the function, that value of y belongs to the range.

The given function is:

Using a graphing tool, we draw the graph shown in the image below.

It can be clearly seen that if we imagine horizontal lines from above y=6 to infinity, they won't ever touch the graph of the function. From y=6 and below, every horizontal line will touch the function one time or twice.

We can conclude the range of the function is [-∞,6]

addition

step-by-step explanation:

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.