Start of Semester Stuff
The vertical line test tells you if a graph is a _____ or not.
What is a function?
What is the form y = mx + b called and what does m and b stand for? (need all 3 things for this question)
What is Slope-Intercept Form
slope and
y-intercept ?
State the Quadratic formula.
What is x = [-b +- sqrt(b2 - 4ac)]/2a ?
Name at least two types of transformations.
What is a reflection about the x- or y- axis, vertical shift, horizontal shift, vertical stretch or compression?
This color was named after the fruit, not the other way around!
What is an orange?
True/false
Non-terminating, repeating decimals are irrational numbers.
Name two ways to solve a system of linear equations.
What is Substitution
Elimination
Graphing
The minimum or maximum of a quadratic function will always occur at its _____?
What is vertex?
Consider the function g(x) = x2 and describe the transformations for f(x) = -x2 + 2.
What is a reflection about the x-axis and vertical shift up 2?
This is the only continent without deserts.
What is Europe?
What is the average rate of change formula over any interval [a,b]?
What is [f(b)-f(a)]/b-a ?
Write a sentence describing what makes a function a linear function.
What is a function with a constant slope, or no exponents greater than one for x and y, or looking at the graph, it is a straight line?
Will the function f(x) = -x2 + 1 have a minimum or maximum value?
What is maximum value?
Knowing the domain of f(x) = x2 is (-inf, inf) and the range is (0, inf), determine the domain and range of the function
f(x) = (x-2)2 - 4
What is
D: all real numbers
R: [-4, inf)
This was the year the first iphone was released.
What is 2007?
Consider f(x) = 2x and g(x) = 4x - 1, find (f-g)(2).
What is -3?
(f-g)(x) = -2x + 1
Give an example of a linear equation that is not a linear function.
What is a vertical line, x = a?
Explain why the 'zeros' and 'x-intercepts' of a quadratic function are used interchangeably.
What is because the x-intercepts are where the function is equal to zero, so where f(x) = 0.
Write the equation for a quadratic function that is shifted 2 units right, 4 units up, and stretched by 5.
What is f(x) = 5(x - 2)2 + 4 ?
This carbo rich veggie was first cultivated in Peru about 7,000 years ago!
What is a potato?
Consider f(x) = x + 5 and g(x) = x2 - x, find (g o f)(x).
What is x2 + 9x + 20?
Solve the system of linear equations:
4y + 2x = 10
2y + 3x = -1
What is (-3,4)?
Find the x-intercepts of f(x) = -x2 - 3x + 4
What is -4 and 1?
If the x-intercepts of a function g are -2 and 4, what are the x-intercepts of y = g(x-2)?
What are 0 and 6?
This is the official sport of Maryland.
What is jousting?