Linear Functions
Real Life Problems
Graphing Components
Linear Inequalities
100
What is the "b" in the slope-intercept form, y = mx + b?
The "b" is the y-intercept.
100
In real-life functions, what does the y-intercept mean?
It's the "starting point" of whatever is happening in the real-life scenario.
100
What is the name of this type of function?
A piecewise function.
100
What does it mean when the shading in an inequality is above the function line like shown below, with a hatchet line as the function line?
It means all points on the function are "greater than" or >.
200
What is the slope of the line that passes through the coordinate points (3, -2) and (11, 12)? Remember to simplify your answer.
The slope is 7/4.
200
If water is drawn down from a pool at feet per hour, and its function is y = -7x + 5, what does the y-intercept mean in here?
The y-intercept is 5, which means that the pool started at 5 feet of water within it.
200
What is the name of the components to the left with the greater than or equal to signs?
Domain intervals, which are the x-value parameters of "pieces" of the piecewise function.
200
What is the function for the following inequality:
300
What is the value of f(3) in the following function?
Use the second equation, -x +6 because 3 > 2. So the answer is 3 or f(3) = 3.
300
If a plant grows at a rate of 15 feet per month, what is the slope for the function of the plant growth?
The slope is 15.
300
In a piecewise function, how do you draw this sign on a coordinate graph?
How do you draw this sign on a coordinate graph?
The first sign: closed dot.
The second sign: open dot.
300
In a linear inequality function, how do you draw this sign on a coordinate graph?
How do you draw this sign on a coordinate graph?
The first sign: a solid line.
The second sign: a hatched line.
400
When graphed on a coordinate plane, this function would be a horizontal line that would pass through point (-3, 9).
y = 9
400
A rocket goes across the sky as a function of the time it has been going up. The relationship is given in the equation h = 9.25t + 100, where h is the height in meters above the ground and t is the time it began to rise in seconds.
Using proper units, explain what 9.25 and 100 represent.
9.25 represents 9.25 meters per second (the speed) and 100 is 100 meters above the ground (where the rocket started)
400
What are the "zeros" in a linear function or a piecewise function?
Whenever the functions cross over the x-axis OR where the values of y = 0.
400
What is the y-intercept and slope for inequality 2x + 2y < 4?
The y-intercept is 2 and slope is -1.
500
For the linear function 6x + 3y = 9, what is the y-intercept and the slope?
Slope is -2 and y-intercept is 9.
500
A car engine is turned off when its temperature is at 220 F. Its temperature decreases at a constant rate of 3 F per minute. What is the equation which relates temperature and time in minutes?
F = -3t + 220 OR y = -3x + 220
500
What do absolute value functions like the below have that other functions don't?
A coordinate point where there is a "kink" and the straight line changes abruptly in direction.
500
Give a coordinate point that is the solution to the inequality 3x - y < 10.
Any coordinate point where x is less than 3.333 and y is less than 1.