# SYMKC Week 4 Flashcards

1
Q

<p>The inverse of a quadratic function is a \_\_\_\_\_\_\_ function</p>

A

<p>Square root</p>

2
Q

<p>How do you say</p>

A

<p>f inverse of x</p>

3
Q

<p>Describe the process to algebraically find the inverse of a function named f(x).</p>

A

<p>1. Replace f(x) with y if necessary.</p>

<p>2. Switch x and y.</p>

<p>3. Solve for y.</p>

<p>4. Rewrite the equation in function notation.</p>

4
Q

<p>Name that graph</p>

A

<p>Absolute Value</p>

5
Q

Describe the transformation

A

Vertical Translation down d units

6
Q

<p>indicates whether or not the graph of a relation is a function</p>

A

<p>Vertical Line Test</p>

7
Q

<p>If an imagined vertical line passes through at most one point of a relation at any location, then the relation is a \_\_\_\_\_\_.</p>

A

<p>function</p>

8
Q

<p>A relation and its inverse reflect over the line \_\_\_\_\_\_.</p>

A

<p>y=x</p>

9
Q

the max distance from the midpoint

A

tolerance

10
Q

<p>Name that equation</p>

A
11
Q

Describe the transformation

A

Vertical stretch by a units

12
Q

<p>Name that equation</p>

A
13
Q

<p>Name that graph</p>

A

<p>Square Root</p>

14
Q

Describe the transformation

A

Vertical translation up d units

15
Q

<p>Name that graph</p>

A

<p>Logarithmic</p>

16
Q

<p>Symbolism for the composition function of f and g</p>

A
17
Q

<p>Ways to verify if functions are inverses</p>

A

<ol><li>If f(g(x))=g(f(x)) = x, then f and g are inverses.</li><li>If the x and y coordinates are switched in each ordered pair, then the two sets are inverses.</li><li>If the graph of f and g are symmetrical to y=x, then f and g are inverses.</li></ol>

18
Q

Describe the transformation

A

Horizontal stretch by the reciprocal of b

19
Q

<p>Name that graph</p>

A

20
Q

Describe the transformation if the a value is negative.

A

Reflection over the x-axis

21
Q

<p>Name that graph</p>

A

<p>Exponential</p>

22
Q

<p>The inverse operation of division is \_\_\_\_\_\_\_\_.</p>

A

<p>multiplication</p>

23
Q

the formula used when an absolute value linear equations involves modeling situations in which a tolerance is given or a limited range of values is accepted.

A

x - midpoint | = max distance from the mipoint.

24
Q

<p>Inverse operations \_\_\_\_\_\_ each other.</p>

A

<p>undo</p>

25
Q

<p>Composition of two functions</p>

A

<p>a process of plugging one function into the variables of another function</p>

26
Q

<p>Name that equation</p>

A
27
Q

When asked to identify the transformations of an equation, what should be done 1st, 2nd, 3rd, ..

A
1. Check for reflections.
2. Check for stretches and compressions.
3. Check for vertical and horizontal translations.
28
Q

Describe the transformation

A
29
Q

<p>The inverse of a cubic function is a \_\_\_\_\_\_\_\_ function.</p>

A

<p>Cube Root</p>

30
Q

half the difference of the max and min values

A

Max distance from the midpoint

31
Q

Describe the transformation

A

Horizontal Translation Left c unit

32
Q

<p>Name that equation</p>

A
33
Q

<p>Name that equation</p>

A
34
Q

averaging the min and max values together

A

midpoint

35
Q

<p>Name that equation</p>

A
36
Q

<p>interchange the x-values (inputs) and y-values (outputs) of relations. </p>

A

<p>Inverse relations</p>

37
Q

<p>Name that equation</p>

A
38
Q

<p>Name that graph</p>

A

<p>Cubic</p>

39
Q

<p>Name that equation</p>

A
40
Q

<p>a relation where each x-value (input) is associated with only one y-value (output)</p>

A

<p>function</p>

41
Q

<p>Name that graph</p>

A

<p>Cube Root</p>

42
Q

<p>The inverse operation of addition is \_\_\_\_\_\_\_\_</p>

A

<p>subtraction</p>

43
Q

<p>the notation used to represent the inverse of f</p>

A
44
Q

Describe the transformation if the b value is negative.

A

reflection over the y-axis

45
Q

<p>Inverse functions \_\_\_\_\_ each other</p>

A

<p>undo</p>

46
Q

<p>The inverse of a linear function is a \_\_\_\_\_\_\_ function</p>

A

<p>linear</p>

47
Q

<p>Name that graph</p>

A

<p>Linear</p>

48
Q

<p>values that may be positive in the real world or the problem is only interested in outcomes over a specified period.</p>

A

<p>real world constraints</p>

49
Q

Describe the transformation

A

Horizontal shrink by the reciprocal of b.

50
Q

Describe the transformation

A

Horizontal Translation right c units

51
Q

<p>Name that equation</p>

A
52
Q

<p>Check for \_\_\_\_\_\_\_\_\_ x-values(inputs) when trying to determine if a table, mapping diagram, or set of ordered pairs represents a function.</p>

A

<p>repeating</p>