Pranav's MATH 117 CHAPTER 1 Jeopardy

1.1 - Functions and Function Notation

100

True or False: A graph can fail the vertical line test and still represent a function.

False

200

Write the following relationship using function notation (y=f(x)). Number of molecules, n, in a gas, is a function of the volume of the gas, g.

n=f(g)

300

x =    0 | 1 | 2 | 3 | 4

f(x)= 1 | 5 | 9 | 10 | 9

f(0)=?

f(?)=10

f(1)=?

f(0) = 1

f(3) = 10

f(1) = 5

400

The sales tax on an item is 8%. Express the total cost, C, in terms of the prices of the item, P.

C = P + 0.08P

500

A chemical company spends $2.4 million to buy machinery before it starts producing chemicals. Then it spends $0.2 million on raw materials for each million liters of chemical produced.

Find a formula that expresses the total cost, C, in millions of dollars, as a function of L, the number of million liters produced.

C = 0.2L + 2.4

1.2 - Rates of Change

100

Find the average rate of change given these points: (0,6) and (25,30)

24/25

200

Find the average rate of change of f(x)= 2x^2 + 1 between the points (2,9) and (4,33).

Avg rate of change = 12

1.3 - Linear Functions

100

Which equation has the greater slope?

Equation 1 : y = 2 + 15x

Equation 2: y = 7x - 9

Equation 1

200

P(t) = 4798 - 3/4(t)

Vertical intercept = ?

Slope = ?

Vertical intercept = 4798

Slope = -3/4

300

Give the rate of change:

x =    -4 | -2 | 0 | 1

f(x)=   6 | 4 | 2 | 1

rate of change = -1

400

In 1984, the population of a town was 455 and grew at a constant rate of 30 people per year. Find a formula for P, the town's population, in terms of t, the number of years since 1984.

P = 30t + 455

500

A new Honda costs $23,500. The car's value depreciates linearly to $18,823 in three years time. Write a formula which expresses its value, V, in terms of its age, t, in years.

V(t) = -1559t + 23500

1.4 - Formulas for Linear Functions

100

Find a formula for the linear function passing through the points (-2,14) and (1,-1). 

y = -5x + 4

200

Is the given function linear?

P(v) = -3(v^4) - 14

No because the power of v is not 1

300

Are the lines 5y = 10 - x and 25y = -100 +5x perpendicular/parallel/neither?

Neither

400

Find the equation of the line parallel to 4x + 5y = 8 passing through the point (0,8).

y = -4/5(x) + 8 

500

Line r is given by y = 7 - 2/3(x) and point M has coordinates (6,5). Find the equation of the line containing M and perpendicular to r.

y = 3/2(x) - 4