Function Basics
Comparing Functions
Linear Functions
Graphs & Motion
100
A relation that gives one output for each input.
function
100
Table
or f(x)=2x+1: which grows faster?
table
100
In y = 3x + 2, what is the slope?
3
100
On a distance‑time graph, a horizontal line means speed = ?
What is 0?
200
A test where you see how many times the graph touches the line.
Vertical line test
200
g(x)=5x-2 or line through (0,1),(2,7): which has bigger slope?
g(x)
200
In y = 2x + 3, what is b?
What is 3?
200
A steeper line on a distance‑time graph means speed is ____ (fast/slow)?
What is fast?
300
The outputs of a function are called the _____.
range
300
h(x)=-3x+5 or (0,2): which has bigger y-intercept?
5
300
Find y when x=2 in y=3x-1.
What is 5?
300
A downward line on a distance‑time graph means moving ___ (toward/away)?
What is toward?
400
If one x-value has two y-values, is it a function? (yes/no)
no
400
At x=3, which is larger: 2x+3 or x+5?
9
400
Slope of y=-4x+6?
What is -4?
400
Which car goes faster?
A: y=3x+5
B: y=2x
Car A
500
Is it a function? (yes/no)
yes
500
Which has greater slope: f(x)=x/2 or table (1→2, 3→6)?
table
500
Slope between (0,2) and (1,5)?
What is 3?
500
What is the slope of the graph?
1/2