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Laabri

128: Graphing Exponential

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Last updated over 5 years ago
20 Nsɛmmisa

Bell Assignment:

1

Notes L7-1: Graphing Exponential Functions

y=a(b)^x

The parent graph for exponentials is y=(b)^x

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1.

Describe each transformation:

Draggable itemarrow_right_altCorresponding Item

y=\left(x+2\right)^{2\ }

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right 2

y=\left(x\right)^{2\ }+2

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down 2

y=\left(x-2\right)^{2\ }

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up 2

y=\left(x\right)^{2\ }-2

arrow_right_alt

left 2

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2.

Notes: using y=(2)^x and y=(\frac{1}{2})^x

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3.

What is the domain of the parent exponential? [use interval notation]

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4.

What is the range of the parent exponential? [use interval notation]

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5.

What is the horizontal asymptote?

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6.

Write the parent table for y=\left(3\right)^{x\ }.

Then, graph the parent.

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7.

How should the graph change:

y=(3)^{x+2}-5

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8.

What is the domain of y=(3)^{x+2}-5? [use interval notation]

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9.

What is the range of y=(3)^{x+2}-5? [use interval notation]

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10.

What is the horizontal asymptote?

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11.

p455 #4

Create table and graph.

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12.

What is the domain of [10]?

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13.

What is the range of [10]?

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14.

What is the asymptote of [10]?

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15.

What does the a value do to the parent table?

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16.

p455 #8

Create table, graph.

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17.

Domain of [16]

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18.

Range of [16]

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19.

Asymptote of [16]

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20.

Choose all that are true