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Review of Graphing Exponentials
Presentation
•
Mathematics
•
11th - 12th Grade
•
Hard
Standards-aligned
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.
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?
The y - intercept is (0, 3).
The decay rate is 1/3.
The growth rate is 3.
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.
The y - intercept is (0, 5).
The decay rate is 1/3.
The growth rate is 3.
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?
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, 2) moves to (1, 5)
(1, 2) moves to (4, 2)
(1, 8) moves to (4, 8)
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.
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, 15) to (1, 21)
(1, 8) to (1, 2)
(1, 15) to (1, 9)
(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.
13
Fill in the Blanks
If the point (0, 2) lies on the function y = 2*3x then the point
Type answer...
14
Fill in the Blanks
If the point (1, 14) lies on the graph of y = 2*7x ; then the point
Type answer...
15
Multiple Select
Which of the following is true about the graph of y = 3*9x+1 - 4? Select all that apply.
The shift of the parent function is 1 unit right.
The shift of the parent function is 4 units down
The point (0,23) is a point on the function.
The range of the function is y > -4.
16
Multiple Choice
Which of the following is the equation of the graph at left?
y = 3*(1/3)x-1 - 2
y = 3*(1/3)x+1 + 2
y = 3*(1/3)x-1 + 2
None of these work
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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