Writing Functions
What does f(h) = 2h + 5 mean?
What is a slope of 2 and a y - intercept of 5?
What does the y - intercept represent?
What is the y - intercept represents the starting value of a function?
Find x: 2x + 3 = 11.
What is x = 4?
What is the point of intersection?
What is the solution of a system where two lines intersect?
What is a linear function?
A function that has a constant difference or is adding / subtracting by the same number?
What does f(n) = 3n + 1 mean?
What is a slope of 3 and an y - intercept of 1?
What does slope mean?
What is the rate of change in a linear function or rise / run?
What is the first step in solving this equation: 3x - 5 = 10?
What is adding 5 to both sides?
What are parallel lines?
Two equations with the same slope but different intercepts?
What is an exponential function?
What is a function that changes by equal factors?
Is this equation recursive or explicit -
an = 2an-1, where a1 = 1?
What is recursive?
Give me an example of a non - negative real number.
What is 0, 1, 1,25, 0.75...?
What is the solution to this equation: 2x = 2x +5?
What is no solution?
Using the substitution method, solve this system of equations -
1. x = 11
2. x + y = 33
What is (11,22)?
Is this linear or exponential?
y = 2x + 1
What is linear?
What does this equation mean: f(x) = -3x + 7?
What is a slope of -3 and a y-intercept of 7?
What does a negative slope represent? (Example: y = -2x + 1)
What is a decrease in a function?
What is the solution to this equation: x + 3 = x + 3?
What are infinitely many solutions?
Give me an example of two perpendicular equations.
Example
y = 2x + 1
y = -0.5x - 2
Is this linear or exponential?
y = 3(2x)
What is exponential?
What is a situation with a $20 start - up fee plus $1.50 per unit?
What is f(x) = 1.5x + 20?
What does a linear function look like?
What is a straight line, linear function, or constant rate of change?
If two lines intersect a one point, how many solutions do they have?
What is one solution?
Are these lines parallel, perpendicular, or neither -
1. y = 2x + 5
2. y = 0.5x + 1
What is neither?
What is exponential growth?
Which grows faster: linear or exponential?
Grows faster over time and exponential.