APPC 1.1-1.3 Quiz Review (Part 1)

1.1-1.3 Review​
Section 1: Understanding
Functions and Representations

By David Granda

Reorder

Order the responses to the blank spaces:

Functions describe the relationship between an __________ variable (input) and a _______variable (output), where each input maps to __________ output. They can be shown as ___________________.

• Independent

• Dependent

• a unique

• equations, tables, graphs, or verbal descriptions.

1

2

3

4

• 1
• 2
• 3
• 4

Open Ended

Short Answer:

Explain in your own words what it means for a relation to be a function. Give an real life example of a function using a verbal description.

Describe your dependent and independent variables, what are their units, and how do you know it is a function; be specific.

Match

Match each function representation to its type

• $$f(x)=2x+1$$

• A line starting at (0,1) with a slope of 2.

equation

table

graph

verbal

• equation

• table

• graph

• verbal

​Section 2:
Domain and Range

Multiple Choice

What is the Domain of a function?

• The set of all possible

  input (x) values

• The set of all possible

  output (y) values

• The size of the graph

• $$x$$

• The horizontal

  length of the graph

Multiple Choice

What is the Range of a function?

• The set of all possible

  input (x) values

• The set of all possible

  output (y) values

• The size of the graph

• $$y$$

• The vertical

  length of the graph

Multiple Choice

For the function {(0,1), (1,-3), (2,-4), (-4,1)},

write the domain and range.

• D: {1, -3, -4,}
  R: {0, 1, 2, -4}
• D: {-4, 0, 1, 2}
  R:{-4, -3, 1}
• D: {0, 1, 2, 3, 4}
  R:{1, -3, -4}
• D: {0, 1, 2, -4}
  R: {1, -3, -4, 1}

Multiple Choice

What is the Domain of this linear function?

• $$-3<x\le5$$

• $$x=-1$$

• $$5<x\le-3$$

• $$-2<x\le6$$

Multiple Choice

What is the range of the graph?

• $$1\le x\le5$$

• $$1<x<5$$

• $$1\le y\le5$$

• $$1<y<5$$

Multiple Choice

What is the range?

• $$x\ge0$$

• $$y\ge0$$

• All real numbers

• {0, 1, 2, 3, 4,...}

Multiple Choice

What is the DOMAIN of this graph?

• $$x<-3$$

• $$x\le-3$$

• $$x>-3$$

• $$x\ge-3$$

Multiple Choice

What is the range of the function?

• $$-7\le x\le6$$

• $$-7<x<6$$

• $$-8<y<2$$

• $$-8\le y\le2$$

​Section 3: Function Notation
and Interpretation

Multiple Choice

What does it mean to evaluate a function?

• To find the output,

  given an a specific input

• To simplify

  the ratio

• To factor the

  Greatest Common Factor

• To find the

  Least Common

  Multiple

• T

Multiple Choice

If $$h(x)=3-2x^2$$

What is the correct substitution for $$h(-3)$$ ?

• $$3-2\left(-3\right)$$

• $$3-2\left(-3\right)^2$$

• $$3-2-3^2$$

• $$3+2\left(3\right)^2$$

Multiple Choice

If $$h(x)=3-2x^2$$

evaluate $$h(-3)$$ .

• 33
• 21
• 39
• -15

Multiple Choice

Evaluate the function $$f(x)=5x-10$$ for $$f(-2)$$ .

• -20

• -10

• 0

• 10

Math Response

f(x) is given in the table

Evaluate f(7).

Type answer here

Correct Answer: 135

Deg^°

Rad

Math Response

f(x) is given in the table

Evaluate f(0).

Type answer here

Correct Answer: 78

Deg^°

Rad

Multiple Choice

Evaluate the function $$f(x)=8x-11$$ for $$f(-2)$$

• -27

• 5

• 13

• -11

Multiple Choice

Which of the following situations
corresponds to this graph? 

• A bicyclist accelerates from a stop, travels at a constant speed, then slows to a stop.
• A car accelerates from a stop,
  travels at a constant speed, slows,
  and then travels at a slower speed.

Multiple Choice

Choose the best explaination

• Taylor can write 6 words per minute
• Taylor can write 25 words per minute
• Taylor can write 50 words per minute
• Taylor can write 150 words per minute

Multiple Select

This graph shows the temperature in the lab for an entire experiment. (Determine which statement(s) is/are true.)

• The temperature reached its highest point during the experiment at Hour 12.

• The temperature was at its lowest when the experiment began.

• The temperature was decreasing for more hours than it was increasing during the experiment.

• The temperature at the end of the experiment was equal to the temperature at the beginning of the experiment.

​Section 4:
Increasing/Decreasing
Behavior and Slope

Multiple Select

How can you determine if a function is increasing?

• It has a

  Positive Slope

• It has a

  Negative Slope

• The graph rises

  from left to right

• The graph rises

  from right to left

• For every increase in the input , there is a increase in the output.

Multiple Select

How can you determine if a function is decreasing?

• It has a

  Positive Slope

• It has a

  Negative Slope

• The graph drops

  from left to right

• The graph drops

  from right to left

• For every increase in the input , there is a decrease in the output.

Multiple Select

How can you determine if a function is constant?

• It has a

  Positive Slope

• It has

  zero Slope

• The graph doesn't

  rise or drop

• The graph drops

  from right to left

• For every increase in the input , there is zero increase or decrease in output

Match

The Function is

• Positive

• Negative

• Zero

• constant

• undefined

If above

the x-axis

If below

the x-axis

On the

x-axis

If it has

Zero Slope

If it has

no output

• If above

  the x-axis

• If below

  the x-axis

• On the

  x-axis

• If it has

  Zero Slope

• If it has

  no output

Multiple Choice

On which interval(s) is the given function increasing?

• (-∞, 2) U (-2, ∞)

• (-2, 2) U (-2, ∞)

• (-∞, -2) U (0.5, ∞)

• (0, 2) U (0.5, ∞)

Multiple Choice

Where is the function positive?

• (0,5]

• $$\left(0,\ \infty\right)$$

• (-∞,2]

• (-∞,0)

Multiple Choice

Where is the function positive?

• Nowhere

• $$(0.5,2)$$

• $$(-3,0.5)\cup(2,5]$$

• $$\left(-\infty,0.5\right)\cup\left(2,\infty\right)$$

• All Real

  Numbers