Chapters 1 & 2 Review
Recognizing Functions
Domain & Range
Evaluating Functions
Linear Functions (in order)
100
Simplify the expression by combining like terms:
-3x+6+8x-14
5x-8
100
Relations can be any set of ordered pairs. Functions are special relations because they have a ___-__-___ correspondence, meaning there is only one output value for every input value.
one-to-one
100
The domain of a function is all the possible ___ values;
The range of a function is all the possible ___ values.
x; y
100
Evaluate the function for f(2):
f(x)=3x+1
7
100
The graphs of a linear function always form a straight _____.
Line
200
Simplify the expression by using the distributive property and then combining like terms:
3x+2(4x-6)
11x-12
200
Describe how you would use the Vertical Line Test to tell whether or not a graph represents a function.
Draw a vertical line over the graph. If it crosses that graph at more than one point anywhere on the graph, the graph does not represent a function.
200
Would the domain and range of a continuous function be expressed as an inequality or a list of values? Why?
inequality; fractions/decimals included
200
Evaluate the function for f(-3):
f(x)=2x+5
-1
200
Which of these could be the graph of a linear function?
Red
300
Solve the 2-step equation by using inverse operations:
3=x/15+4
x=-15
300
Rewrite the equation below in function notation:
y=2x^2-3x+4
f(x)=2x^2-3x+4
300
A discrete function contains the points (1,2), (3,4), (5,6), (7,8), and (9,10). What is its domain and range?
Domain: {1,3,5,7,9}
Range: {2,4,6,8,10}
300
What is Ms. Pace's Favorite NFL team?
Baltimore Ravens
300
Calculate the rate of change for the table below. For what variable in slope-intercept form will you plug in this rate of change?
5; m
400
Solve the equation with variables on both sides using inverse operations:
-8(1-4x)=-8+5b
0
400
Sketch an example of both a continuous and a discrete function.
(on board)
400
What is the domain and range of the function graphed below?
Range:
y> -4
Domain: {all real numbers}
OR
-oo<x<+oo
400
Evaluate the function for f(-6):
f(x)=x^2+10x+24
HINT: If using a calculator, remember to put parentheses around the -6. Remember what happens when you multiply two negative numbers.
0
400
Use one of these methods:
a) find the point (0,y) by extending the table OR b) solve for b using a given point and the rate of change from the previous question
to find the y-intercept of the line formed by the information in this table.
0=b
500
Solve the two-step inequality. HINT: Remember what happens to the inequality symbol when you multiply or divide by a negative.
-182<= -9x-2
x<=20
500
Draw an example of:
1) The graph of a straight line that is NOT a function.
2) The graph of a curve that IS a function.
3) A discrete graph that is NOT a function.
1) vertical line
2) parabola, etc.
3) ordered pairs
500
What is the domain and range of the function graphed below?
Range:
0<=y<=2
Domain:
-5<=x<3
500
Evaluate the function for f(6)
f(x)=-x^2+6x-3
HINT: Remember to apply the negative AFTER squaring the 6.
-3
500
Use the information from the 300 and 400 point question to write an equation in slope-intercept form that fits the information in the table.
y=5x