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Review of Graphing Exponentials

Review of Graphing Exponentials

Assessment

Presentation

•

Mathematics

•

11th - 12th Grade

•

Hard

•
CCSS
HSF.BF.B.3, HSF-IF.C.7E, HSF.LE.A.2

Standards-aligned

Created by

Abbie Gutzmer

Used 8+ times

FREE Resource

4 Slides • 12 Questions

1

Review of Graphing Exponentials

Solidify our understanding of the properties of an exponential function. Preparing for logarithms as inverses of exponentials.

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2

Multiple Select

A parent function is a function in its simpliest form. For example, y = x is the parent function of a line. y = 2x changes the slant of the line and y = x - 2 shifts the line down 2 units. y = bx is the parent function for an exponential. Given y = 3x ; which of the following is true?

1

The y - intercept is (0, 3).

2

The decay rate is 1/3.

3

The growth rate is 3.

4

All of the above are true.

3

Multiple Select

A parent function is a function in its simpliest form. For example, y = x is the parent function of a line. y = 2x changes the slant of the line and y = x - 2 shifts the line down 2 units. y = bx is the parent function for an exponential. Given y = 5*3x ; which of the following is true? Select all that apply.

1

The y - intercept is (0, 5).

2

The decay rate is 1/3.

3

The growth rate is 3.

4

The point (1, 15) lies on the function.

4

Order of operations tells us that we need to simplify a power first. If there is a value in the "h" position that is our first movement to out key points.

**Remember - ask yourself the question what value of x makes x - h equal to zero?

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5

Fill in the Blanks

Given y = 2*4x + 2; what is the horizontal shift? The shift is 2 units to the

Type answer...

.

6

Fill in the Blanks

Given y = 2*4x + 2; what is the horizontal shift? The y - intercept is (0,2) - the (0,a) point. What is the coordinate point when the horizontal shift is applied?

Type answer...

7

Multiple Choice

Given y = (1/4)*8x-3 ; which points represent the correct movement from parent function to point on function after the transformation.

1

(1, 2) moves to (1, 5)

2

(1, 2) moves to (4, 2)

3

(1, 8) moves to (4, 8)

4

None of these are correct

8

The "k" value is the LAST step we would take in simplifiying. You plug in x to find y; multiplication first then addition (or subtraction)

**Remember - the "k" is your new range and asymptote.

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9

Fill in the Blanks

Given y=2*(1/8)x + 4; the range of the function would be y >

Type answer...

.

10

Fill in the Blanks

Given y=2*(1/8)x + 4; the y - intercept of the parent function (y=2*(1/8)x) would be (0, 2). What is the new coordinate for the y - intercept after the vertical shift is applied?

Type answer...

11

Multiple Choice

Given y = 3*5x - 6; which of the following is the correct movement from the parent function to the graph?

1

(1, 15) to (1, 21)

2

(1, 8) to (1, 2)

3

(1, 15) to (1, 9)

4

(1, 8) to (1, 14)

12

A negative "a" is a reflection over the x - axis while a negative "x" is a reflection over the y - axis.


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13

Fill in the Blanks

If the point (0, 2) lies on the function y = 2*3x then the point

Type answer...

lies on y = -2*3x .

14

Fill in the Blanks

If the point (1, 14) lies on the graph of y = 2*7x ; then the point

Type answer...

lies on the graph of y = 2*7-x .

15

Multiple Select

Which of the following is true about the graph of y = 3*9x+1 - 4? Select all that apply.

1

The shift of the parent function is 1 unit right.

2

The shift of the parent function is 4 units down

3

The point (0,23) is a point on the function.

4

The range of the function is y > -4.

16

Multiple Choice

Question image

Which of the following is the equation of the graph at left?

1

y = 3*(1/3)x-1 - 2

2

y = 3*(1/3)x+1 + 2

3

y = 3*(1/3)x-1 + 2

4

None of these work

pattern-tertiary

Review of Graphing Exponentials

Solidify our understanding of the properties of an exponential function. Preparing for logarithms as inverses of exponentials.

Slide image

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