Correlation, Causation, and Random Questions
Linear Functions and Systems
Quadratic Functions
Exponential Functions and Factoring
Calculator Tips and Tricks
1

The value of y varies directly with x. When the value of x is 8, the value of y is −16.

What is the constant of variation when y is a function of x?

-2

1

What is the slope of the function:

y=-3x+3

-3

1
What is the vertex of y=x2?

(0,0)

1

If f(x) = 3x2 − 7, what is the value of f(6)

101

1

What steps would you take to find certain points on the line using your calculator:

y=3x+4

Put equation into y = 


Push 2nd, Graph (Table) to see all values

2

What is the slope of the line x=5?

Undefined

2

The y-intercept of the line represented by the equation: 

2x + 3y = 6 

2

2

Function g is defined by g(x) = x2+8x+12.  What are the solutions to g(x) = 0?

x=(-6) AND x=(-2)

2

In a function, there are no repeated ____ Values

2

How would you use your graphing calculator to find the answers to this question:

Function g is defined by g(x) = 3x2 − 2x − 5. What are the solutions to g(x) = 0?

Put the function into Y= in Y1
Graph the Function (Push Graph)

Find the zeros (Push 2nd, Calc, 2-zero)

push left/right arrow to get cursor above the x-axis and below the x-axis to get left zero. 


push left/right arrow to get cursor below the x-axis then above the x-axis to get the right zero. 

3

An R value of -0.91 has this type of correlation.

Strong and Negative
3

The universal substitution point to determine whether a solution is included in the solution set for a system of inequalities.

(0,0)

3

F(x) = x2+2x-3 has a (minimum, maximum) value of _______.

Minimum

-4

3

What is the initial deposit amount? 

A(t) = 1,550(1.02)t 

1550

3

If you are asked to graph 

y= 3x2-2x-50

What would you need to adjust to be able to see the minimum of the graph?

The Y-Min of the menu. 


4

What is the solution to this inequality?

12 − 4w > 2(w − 18)

w<8

4

An athlete ran at a constant speed for 10 seconds.  The linear function is written in such a way that the distance the athlete ran in yards, y, is a function of the time in seconds, x.  What is the domain of the function for this situation?

0 < x < 10

(0 is less than or equal to x and x is less than or equal to 10)

4

If the maximum of a quadratic function is at (2,0), how many real zeros does this function have?

1

4

A company currently has 300 employees. The number of employees is expected to grow at a rate of 3% each year.

Write an exponential function to model the number of employees in the company, y, after x years

F(x) = 300 . 1.03x
4

Using your graphing calculator: 

What are the steps for finding the best fit linear function when given a table of values?

Turn on Diagnostics (2nd, 0, DiagnosticsOn)

Put Data into L1 and L2 (Stat -- Edit)

Find Linear Regression Equation (Stat--Calc--LinReg)


5

How many solutions does this system have?

6x − 2y = 10
y = 3x − 5

Infinite solutions

5

The solution to this system of equations :

−3x + 5y = 21

6x − y = −15

(-2,3)

5

F(x) = x.  

What is the vertex of g(x) if g(x) = f(x-2) +4

(2,4)

5

What is the equation of the asymptote of the graph of the function y = 16(0.75)x?

y = 0

5

How do you clear the memory of your Ti-84 Calculator?

Press: 

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