Question

look at the graph at the right and determine which segment best answers each question.
when is the speed the fastest?
(circle one)
a. a-b c. c-d
b. b-c d. d-e
which segment shows the car has stopped? (circle one)
a. a-b c. c-d
b. b-c d. d-e
which segment shows the runner stopped? (circle one)
a. 1 c. 4
b. 8 d. 10
where does the runner maintain constant speed? (select all)
☐ 1 ☐ 6 ☐ 2
☐ 4 ☐ 7 ☐ 10
put a ✓ next to the statements that correctly identify the independent and dependent variables.
the number of goals scored by a soccer player in a season is affected by the number of games played.
___ the number of games played is the dependent event.
___ the number of games played is the independent event.
___ the number of goals scored is the dependent event.
___ the number of goals scored is the independent event.
a flower’s growth is affected by the amount of rain.
___ the amount the flower grows is the independent event.
___ the amount the flower grows is the dependent event.
___ the amount of rain is the independent event.
___ the amount of rain is the dependent event.
given the equation \\( f(x) = 2x - 1 \\), create a table of solutions and graph your results.

\\( x \\)	\\( f(x) \\)
	1
	-1
3

Explanation:

Step1: Calculate \( f(-2) \)

Substitute \( x = -2 \) into \( f(x) = 2x - 1 \). So \( f(-2)=2\times(-2)-1=-4 - 1=-5 \).

Step2: Find \( x \) when \( f(x) = 1 \)

Set \( 2x - 1 = 1 \). Add 1 to both sides: \( 2x=1 + 1 = 2 \). Divide by 2: \( x = 1 \).

Step3: Find \( x \) when \( f(x)=-1 \)

Set \( 2x - 1=-1 \). Add 1 to both sides: \( 2x=-1 + 1 = 0 \). Divide by 2: \( x = 0 \).

Step4: Calculate \( f(3) \)

Substitute \( x = 3 \) into \( f(x)=2x - 1 \). So \( f(3)=2\times3-1 = 6 - 1 = 5 \).

Answer:

\( x \)	\( f(x) \)
1	1
0	-1
3	5