Functions
What makes up a function table?
Inputs, outputs, and a function
Is this function linear: f(x) = 3x -24
Yes!
Does a nonlinear function take the form: f(x) = mx + b?
Nope! Linear functions do!
If a graph has a straight line, is it linear or nonlinear?
It is linear!
What is our Dean's name for 8th grade?
Rich!(aka one of the best deans)
Freebee!
Free points!
Is this function linear: f(x) = 2(x + 6)?
Yes, f(x) = 2x + 12
Is this function nonlinear: f(x) = x4 + 3x + 2?
Yes it is! Our x4 makes our function nonlinear.
If a graph is not a straight line, is it linear or nonlinear?
It is nonlinear!
What was your favorite thing you did on a Friday this summer at Breakthrough?
Every answer is right!
If we have an input number of x = 6, and the function f(x) = 2x + 5, what is our output number?
Our output number is 17! f(6) = 2(6) + 5 = 12 + 5 = 17.
The point where a line crosses through the y-axis
Is this function nonlinear: f(x) = ex?
Yes! Our x is being altered or manipulated, so we won't have a constant slope.
Why are graphs important?
It helps us visualize our functions!
What was your favorite thing you did on a Wednesday this summer at Breakthrough?
Every answer is right!
What is a real world application of a function?
There are many answers! Vending machines, teachers grading homework, putting gas in a car, etc.
What does it mean to be linear?
It has a constant growth, constant slope
What does it mean to be nonlinear?
The function does not grow at a constant rate.
Look at the function: f(x) = 6x + 2. Does this function have an increasing or decreasing slope?
Increasing slope! Since our slope(m) is positive, the graph will have an increasing slope.
What elective does Sheridan teach?(this is a tricky one!)
"Myth"busters of BTC!
When looking at a function table, when can we tell when something is not a function?(This one is tricky!)
If there are multiple outputs for one input!
What form does a linear function take?
A linear function takes the form: f(x) = mx + b, or a straight line
What does a nonlinear graph look like? (many answers for this question)
It won't be a straight line! Could increase quickly, could change how quickly it's growing, etc.
Look at the function: f(x) = 6x + 2. Will the y-intercept be above or below the x-axis?
It will be above the x-axis since our y-intercept is positive!
What is Sheridan's favorite animal? I'll give y'all a hint:)
Sloths!