Functions (General)
In order to be a function, each input must have ________ output.
What is one?
Each input must have one output.
What is the linear parent function?
What is y = x or y = mx +b or (y - y1) = m(x - x1)
What is the exponential parent function?
What is abx or bx?
What is the quadratic parent function?
What is x2 or (x - h)2 + k or ax2 + bx + c?
What is the factored form of x2 + 4x + 4?
(x + 2)2 or (x + 2)(x + 2)
One of these isn't a function, which one is it?
y = x, y = x2, abx, y2 + x2 = c
What is y2 + x2 = c?
Given the linear function, y=9x+21, what is the value of y when x=7?
What is 84?
What does the number 1 in the exponential rate of change represent?
What is the initial 100% of the initial amount?
What are the roots/zeros/solutions to a quadratic function?
What are the x-intercepts?
Linear functions go up by ______ or _______ the same number each time.
What is adding or subtracting?
Let g(x)=3x+4. What is g(2)?
What is 10?
Which one is the graph of the linear function?
What is 2?
Exponential functions go up by _____ or _____ the same number each time.
What is multiplying or dividing ?
A triangular sail's height will be 1.8 times the length of the sail's base and, to catch enough wind, will have an area of approximately 150 square feet.
To the nearest foot, what will the length of the new sail's base be?
What is ≈ 13ft?
What does the linear b value the quadratic c value and exponential a value have in common?
What is the y-intercept of the function?
Let h(x) = x(x-3)2 . What is h(5)?
What is 20?
Finish the table using your knowledge of linear functions.
Suppose you have the exponential function y=3x-12. What is the value of y when x=3?
What is 15?
How is the constant of gravity represented in a quadratic function?
What is -16t2?
How do you invert a function?
Swap the x and y variables and isolate y.
What test do you use to determine if a graph is a function?
What is the vertical line test?
Is (4,3) a point that lies on the line formed by 2x+3y=19?
(Hint: a point lies on a line if, when plugged in, both sides of the equal sign are the same)
What is no because both sides are not equal.
Riley is training to compete in a marathon. She plans to run 12 miles in her first week of training and will increase her mileage by about 10% each week after.
How far will she run in her 5th week?
What is ≈ 19 miles?
For the quadratic equation, y=2x2+4x+16, what is y when x=3?
What is 46?
What do quadratic measure?
What are squares?