Make a table to find ordered pairs. Then, plot and connect the points with a smooth curve.
Graph:
Domain: All real numbers Range: y>3
Practice makes perfect
To graph the given function, we will first make a table of values.
x
(0.25)^x+3
y=(0.25)^x+3
-1
(0.25)^(-1)+3
7
-0.5
(0.25)^(-0.5)+3
5
0
(0.25)^0+3
4
0.5
(0.25)^(0.5)+3
3.5
1
(0.25)^1+3
3.25
Let's now plot and connect the points ( - 1, 7), ( -0.5, 5), ( 0, 4), ( 0.5, 3.5), and ( 1, 3.25) with a smooth curve.
We can see that the graph approaches the line y=3 but does not intersect it. Therefore, the range is all real numbersgreater than 3. The domain of the function is all real numbers.
Domain:& All real numbers
Range:& y>3
