Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

graph the function. $f(x)=\\sqrt{x}+3$ plot four points on the graph of…

Question

graph the function.
$f(x)=\sqrt{x}+3$
plot four points on the graph of the function: the leftmost point and three additional points. then click on the graph - a - function button.

Explanation:

Step1: Find leftmost point (x≥0)

For $f(x)=\sqrt{x}+3$, the smallest $x$ is 0:
$f(0)=\sqrt{0}+3=0+3=3$
Point: $(0, 3)$

Step2: Calculate x=1 point

Substitute $x=1$:
$f(1)=\sqrt{1}+3=1+3=4$
Point: $(1, 4)$

Step3: Calculate x=4 point

Substitute $x=4$:
$f(4)=\sqrt{4}+3=2+3=5$
Point: $(4, 5)$

Step4: Calculate x=9 point

Substitute $x=9$:
$f(9)=\sqrt{9}+3=3+3=6$
Point: $(9, 6)$

Answer:

Leftmost point: $(0, 3)$
Additional points: $(1, 4)$, $(4, 5)$, $(9, 6)$
(Plot these points on the grid and draw a curve starting at $(0,3)$ passing through the other points to graph the function.)