Finding Domain
Property of Functions
12 Basic Functions
Composition Functions
Transformations
100

Find the domain of y=x+3

All Real Numbers

100

Is this graph represent a function?

Yes

100

Which functions do not have a domain of all real numbers?

Square Root, Natural Log, Reciprocal

100

f(x)=x^3  and g(x)=√(x+5). Find f(x)+g(x)

x^3 + √(x+5)

100

Reflect the point (3,-4) across the y-axis

(-3,-4)

200

Find the domain of f(x)=x2

All real numbers

200

Where is this function decreasing?

(- infinity, -1] U [1, infinity)

200
Which three functions are even?

Cosine, Absolute, Squaring

200

f(x)=x^3  and g(x)=√(x+5). Find f(x)/g(x)

x^3 /√(x+5)

200

Describe the transformation from the parent function y=x^3 to y=3(x+9)^3-6

vertical stretch by 3, horizontal translation 9 units to the left, and vertically translations 6 units down

300

Find the domain of 

[7,∞)

300

The reciprocal functions has what type of discontinuity?

Infinite

300

Which three functions have symmetry across the y-axis.

Cosine, Absolute, Squaring

300

Find the domain for the composition function

 x^3 + √(x+5)

[-5,∞)

300

Reflect y=(x+6)^3 across the x-axis.

y=-(x+6)^3

400

Find the domain of 3x/(2x+6)

x ≠-3

400

Fill in the blank. This image is ________ at all x.


continuous

400

Which functions have points of discontinuity?

Reciprocal, greatest integer 

400

What is g(x) if f(g(x))= (x-4)^5+2(x-4)^3

g(x)=x-4

400

Write the function for y=|x| being transformed by a horizontal shrink of 1/2, reflected across the y-axis, and vertically translated up 11 units. 

y=|-2x|+11

500

Find the domain of (6x+1)/√(3-x)

x < 3

500

Is this graph bounded above, below, or both?


Below

500

Which functions have an asymptote at y=0

Logistic, Exponential, Reciprocal

500

f(x)=x^5+x^3+3x and g(x)=x+3. Find f(g(1))

1100

500

Apply a horizontal stretch of 1/6 to the functions y=3x^2

y=18x^2

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