Functions &
Function Notation
Solving & Simplifying
Linear Functions
Quadratic Functions
Potpourri
100
This test is used to determine whether a graph is a function. (30 seconds)
What is the vertical line test.
100
Solve for x. 8x + 6x - 12 = 72 (1 minute)
What is x = 6.
100
In the equation, y = mx + b, what do the m and the b indicate. (30 seconds)
The m represents the slope (rise/ run), and the b represents the y-intercept.
100
This is the name of the symmetrical curve that is the graph of a quadratic function.
What is a parabola.
100
If the slopes of two lines are opposite reciprocals, that is to say that the product of the slopes is -1, then the lines are said to be this...
What is perpendicular.
200
Given the function f(x) = 4x-5, evaluate for f(-2). (1 minute)
What is f(-2) = -13.
200
Solve for x. 5x = 2 - (x-7)
What is x = 3/2.
200
In the equation 2x - 3y = 5, what is the value of the slope? (1 minute)
The slope is 2/3.
200
The x-intercepts of a quadratic function indicate where the graph crosses the x-axis. Besides the term "x-intercept," what are TWO additional terms that are sometimes used in place of x-intercepts. (30 seconds)
Any of the following are acceptable: roots, zeroes, or solutions
200
This term, most often used in Algebra 1 with "linear" and "quadratic," refers to the simplest form of a function before any transformations are applied. (30 seconds)
What is the term, "parent function."
300
Restate the following expression using the terms x and y. f(5) = 17
What is, when x = 5, y = 17.
300
Simplify the expression: 3x + 5 - x + 9 + 2x (1 minute)
The simplified form is 4x + 14.
300
This type of line has an undefined slope. (15 seconds)
What is a vertical line.
300
The graph of the quadratic parent function was changed into a new graph, given by the equation y = 3x^2 + 9. What two transformations have been done to the quadratic parent function that to make the new graph. (1 minute)
The new graph has a vertical stretch by a factor of 3, which makes the graph more narrow. The graph has also been translated up 9 units.
300
What is the factored form of 4x^2 - 81? (1 minute)
The factored form is (2x+9)(2x-9).
400
Given the function, f(x) = 3x^2 - 5x, evaluate for x = -4 (90 seconds)
What is f(-4) = 68.
400
Simplify the expression: (3x - 5) ^2 (1 minute)
The simplified form is 9x^2 -30x +25.
400
What is the value of x in the ordered pair (x, -5) that lies on the line 3x+5y = -10? (1 minute)
What is x = 5.
400
You start with the quadratic parent function and make the following changes: reflection over the x-axis vertical shift up by 5 units horizontal shift right by 3 units What is the resulting equation? (2 minutes)
The new equation is y = -(x-3)^2 +5 . It's also acceptable to write this equation as y = -x^2+ 6x - 4.
400
In an exponential function the "b" value determines whether there is growth or decay. The values that indicate there will be exponential decay are this.
What is b > 0 and b < 1 . In other words, b is between 0 and 1.
500
This type of function is used to describe changes in y values such that there is a common ratio between each value. (30 seconds)
What is an exponential function.
500
Write the following expression in simplified form: 3x^5 * 4x^2 * x^-1 (90 seconds)
What is 12x^6
500
Ms. Cecil went to the Dessert Gallery to pick up some sweets for her 3rd period. She purchased a total of 29 cookies and donuts. Each cookie costs $1.50 and each donut costs 75 cents; she spent a total of $25.50. How many donuts did she buy? (4 minutes)
She bought 24 donuts.
500
An acorn is tossed by a squirrel from the branch of a tree 8 feet in the air. The acorn follows a path modeled by the function y = -16x^2 +15x + 8. How high is the acorn at its highest point? (3 min)
The highest point the acorn will reach is approximately 15.52 feet.
500
A number is 7 less than the another number. The sum of the two numbers is 35. What are the two numbers? (3 minutes)
The numbers are 21 and 14.
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