Precalculus Chapter 1 Jeopardy

Functions

100

How to tell if a relation is a function (graphically)

What is the vertical line test

200

How to tell if a relation is a function (algebraically)

x-values can't be matched to more that one y-value

300

A scatterplot has a line of best fit with the equation y = 15x + 50, where x is the hours studied and y is the predicted test grade.  

How long would we predict a person studied for if they earned an 81?

About 2 hours

400

The equation y=15x+50 represents the # of hours studied (x) vs test grade earned (y).  Interpret the slope in context.

For every hour studied, we would predict an increase in test grade of about 15 points.

500

A pizzeria sells a rectangular 18in by 24in pizza for the same price as its round pizza which is 24in in diameter.  If they are the same thickness, which is the better buy?

Circular (452in vs 432in)

Domain/range

100

What is the domain of a function telling you?

What are all the input values that have output values in the function?

200

The range of a parabola that has a vertex of (2,3) that is an absolute minimum?

What is [3, infinity)?

300

The range of an absolute value function with an absolute maximum of (4, -2)?

What is (-infinity, -2]?

400

In interval notation, the domain of y = (3x - 4)^0.5

What is [4/3, infinity)?

500

the domain of y = 1/(2x+3)?

What is (-infinity, -3/2) U (-3/2, infinity)?

Evaluating Functions

100

f(3) for f(x)=9-2x²

What is -9?

200

If g(x) = x - 2 and f(x) = 3x+5

what is f(g(x))= ?

What is 3x - 1?

300

If f(x)=x² - 2x and g(x) = x+1

What is (f o g)(x)= ?

What is x² - 1?

400

If f(x)=2x - 5 and g(x)=2x

Then what is (f + g)(3) = 

What is 7?

500

If f(x)=3x/(x-1) and g(x)=x-2

What is (f o g)(3)=

What is "undefined"

Transformations

100

from y = x^2 to y=x^2+3

What is up 3 units?

200

from y = |x| to y=|x+2|+1

What is left 2 units and up 1?

300

from y=x² to y=3(x-2)² - 4

What is right 2, down 4, and vertically stretched by 3?

400

From y=|x| to y = -|x - 5| + 2

What is vertically flipped (reflection across the x-axis), right 5, and up 2?

500

from y =x³ to y =(-2x)³

What is horizontally compressed by 2 and horizontally flipped (reflection across the y-axis)?

Miscellaneous

100

What is the check you do to graphically check to see if a function has an inverse that is a function?

What is the horizontal line test?

200

the inverse of f(x)=2x+1

What is f^-1(x) = (x-1)/2

300

Which function has a parent function with a domain of (-infinity, 0) U (0, infinity)?

What is the rational (inverse) function 1/x?

400

If f(x) = 

2x - 3 if x<-2

4x²  if x >= -2

Then what is f(2)=?

What is 16?

500

If f(x)=

-3x + 5    if x < 1

|x-3|      if x > 1

Then is x = 1 a removable discontinuity (hole) or a jump discontinuity?

What is a hole?