2-1 Evaluating Function Notation
2-2 Linearity
and Continuity of Graphs
and Continuity of Graphs
2-3
Intercepts of Graphs
Intercepts of Graphs
2-4
Shapes of Graphs
Shapes of Graphs
2-5 Sketching Graphs and Comparing Functions
400
If f(x) = 3x + 2, find f(2) + 1.
What is 9?
400
Determine whether each function is linear or nonlinear. 𝑥+(√2𝑥)2+𝑦−2𝑥2=11
What is nonlinear
400
Give the x-intercept and y-intercept. 
What is (-3,0) and (0, 1.75)?
400
Give the end behavior of a parabola with the relative minimum of (0,0).
What is as x decreases, y increases and as x increases, y increases?
400
David is saving money to buy a new car. The amount he saves can be represented by a function. Sketch a graph that shows the amount in savings y, in dollars, as a function of time x, in weeks.
Linear or Nonlinear?
When is it Positive and Increasing?
What's the End Behavior?
What is the graph of the function is linear?
It's positive or increasing for time greater than 0.
As the number of weeks he has saved increases, the amount saved increases.
500
If g(x) = x2 + 5, find g(2) − 2.
What is 5?
500
9𝑥2-√4 𝑥2+𝑦=−4+7𝑥2
What is linear?
500
Write the related function of y = 60 – 2.5x. Find the zero of the function.
what is f(x)= -2.5x+60?
The zero of the function is 24.
500
What is the line symmetry and extrema of a linear function with a positive slope? What is the end behavior?
What is no line symmetry and extrema? As the value of x increases, the value of y increases.
500
Use the description and graph to compare the amount of U.S. spending on electronics and education, where y is the amount spent in billions and x is the number of years since 1949. Write statements to compare U.S. spending on electronics and education since 1949.
U.S. Electronic Spending In 1949, the U.S. spent $0 on electronics. Twenty years after 1949, the U.S. spent about $4 billion on electronics. Thirty years after 1949, the U.S. spent about $3 billion on electronics. Seventy years after 1949, the U.S. spent about $7.5 billion on electronics and spending continues to increase. Sketch a graph where y is the amount spent in billions and x is the number of years since 1949. what kind of function is it?
What is non-linear?