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Algebra Lessons 3-1 & 3-2 Combo Quiz v2

Last updated over 2 years ago

7 questions

1

1

Question 2

2.

1

1

1

1

1

Question 1

1.

Emmy is sure that the relation from question 1 is a function. When Terrance askes her for a reason, she explains, "no two of those ordered pairs has the same first value."

Is Emmy's reasoning correct? Make sure explain your answer and include an explanation of what a function is.

Question 3

3.

From the relations below, select all and only the relations that are functions.

A relation from set C of congresspeople (Senators and House Representatives) to set S of states such that each legistlator c \in C is mapped to a state s \in S if and only if the congressperson is a representative or senator for that state.

Question 4

4.

Evaluate f(-5) for the function f(x)=3x+9.

f(-5)=

Question 5

5.

Select the linear function that matches the input/output pairs shown below:

f(x)=-\frac{5}{2}x+3

f(x)=\frac{2}{5}x-3

f(x)=-\frac{2}{5}x+3

Question 6

6.

Which function matches the graph?

f(x)=-\frac{1}{2}x-2

f(x)=-2x-2

f(x)=-2x+2

Question 7

7.

Our old friend f(C) = \frac{9}{5}C+32 is a function that changes input temperatures in degrees Celcius to output temperatures in degrees Fahrenheit.

A) Evaluate f(-40) and explain what your result means in terms of degrees Celcius and Fahrenheit.
B) The temerature -273.15 ^{\circ}C=-459.67 ^{\circ}F is known as "absolute zero" - the coldest possible temperature. Is absolute zero a limit on the domain of this function, the range, both, or neither? Explain your reasoning.

The set below displays a relation between two sets. Identify all the elements of the domain and range.

{(a,9), (b,7), (d, 2), (c, 4), (f, 1), (h, 0)}

a

b

c

d

e

f

g

h

Domain

Range

f(x)=\frac{5}{2}x-3

f(x)=-\frac{1}{2}x+2