Chapter 2 Test
Sections 1 – 7 and Piecewise functions
Name ___________________
Period _______
Section 1: Relations and Functions
B. Determine whether the relation is a function or not. Why?
{(5, -8), (-4, 0), (0, -8), (-8, -4)}
P. Make a mapping diagram for the relation. {(-1, -2), (3, 6), (-5, -10), (3, 2)}
Domain
Range
A. Suppose f  x   2 x  5 and g  x   3x  1 . Find the value of g (2)  f  4  .
Section 2: Linear Equations
B. Write in slope intercept form the equation of the line through the pair of points. (-16, 3) and (-4, -6).
P. Write in standard form the equation of the line through the pair of points. (3, -4) and (12, 2).
A. Write an equation of the line (in slope intercept form) through the point (-4, 13) and perpendicular to
the line 4x – 5y = 7.
Extension: Piecewise Functions
 2 x  3 if x  -2

B. Graph the piecewise function f  x    1
 2 x  2 if x  -2
 5 
P. Find f   from the function above.
 4 
A. Write a piecewise function to represent the graph

f  x  

Section 3: Direct Variation
B. For the function, y varies directly with x. Find the constant of variation.
P. Suppose y varies directly with x. If y = 7 when x = 2, find y when x = 3.
A. The number of minutes a freight train takes to pass an intersection varies directly with the number of
cars in the train. A 150-car train passes in 3 minutes. How long will a 280-car train take to pass? Write
your answer in minutes and seconds.
Section 4: Using Linear Models
B. (1.) Make a scatter plot of the data. (2.) Draw a trend line. (3.) Determine the relationship between
the data as either
“Weak, positive correlation”, “Strong, positive correlation”, “Weak, negative correlation”,
“Strong, negative correlation”, or “No correlation”.
P. Estimate the value of y when x = 17.
A. For the situation, find a linear model (write an equation) and use it to make a prediction. A 2-mile cab
ride costs $8. A 6-mile cab ride costs $17. How much does a 4.5-mile cab ride cost?
Section 5 and 6: Absolute Value Functions and Graphs
B. What is the vertex of the absolute value equation? y  3 4 x  2  5
P. Graph the absolute value equation. y  x  2  3
A. Write an absolute value equation for the graph below.
y = _____________________
Section 7: Two-Variable Inequalities
B. Graph the inequality. 2 x  3 y  15
P. Graph the absolute value inequality.
y   x2 4
A. Graph the absolute value inequality.
1
y  3 x 1  4
2