What is the range for the following exponential function? f ( x ) = − 2 x + 3 + 9 f\left(x\right)=-2^{x+3}+9 f ( x ) = − 2 x + 3 + 9

( − ∞ , 9 ) \left(-\infty,\ 9\right) ( − ∞ , 9 )

( 9 , ∞ ) \left(9,\ \infty\right) ( 9 , ∞ )

( 9 , − ∞ ) \left(9,\ -\infty\right) ( 9 , − ∞ )

Which statements are TRUE regarding the following exponential function? Select BOTH that apply. f ( x ) = − ( 1.5 ) x − 3 f\left(x\right)=-\left(1.5\right)^x-3 f ( x ) = − ( 1 . 5 ) x − 3

The function reflected across the x-axis.

The function shifted down 3 units from the parent function.

The function reflected across the y-axis.

The function shifted right 3 units from the parent function.

There was a vertical stretch of scale factor 1.5.

What is the y-intercept for the following exponential function? f ( x ) = 9 x + 1 f\left(x\right)=9^x+1 f ( x ) = 9 x + 1

( 0 , 2 ) \left(0,\ 2\right) ( 0 , 2 )

( 0 , 9 ) \left(0,\ 9\right) ( 0 , 9 )

( 0 , 1 ) \left(0,\ 1\right) ( 0 , 1 )

( 0 , 0 ) \left(0,\ 0\right) ( 0 , 0 )

Which statements are TRUE regarding the following exponential function? Select BOTH that apply. f ( x ) = − ( 3 ) − x f\left(x\right)=-\left(3\right)^{-x} f ( x ) = − ( 3 ) − x

The y-intercept is at ( 0 , − 1 ) \left(0,\ -1\right) ( 0 , − 1 ) .

The asymptote is at y = 0 y=0 y = 0 .

The y-intercept is at ( 0 , 3 ) \left(0,\ 3\right) ( 0 , 3 ) .

The asymptote is at y = 3 y=3 y = 3 .

Which statement is NOT true in regards to the exponential graph.

The y-intercept is at ( 1 , 0 ) \left(1,\ 0\right) ( 1 , 0 ) .

The asymptote is at y = 0 y=0 y = 0 .

The range is from ( 0 , ∞ ) \left(0,\ \infty\right) ( 0 , ∞ ) .

Which statements below are TRUE in regards to the exponential graph? Select BOTH that apply.

The asymptote is at y = − 2 y=-2 y = − 2 .

The asymptote is at x = − 2 x=-2 x = − 2 .

The range is from ( ∞ , − 2 ) \left(\infty,\ -2\right) ( ∞ , − 2 ) .

What is the domain for the following exponential graph?

( 0 , ∞ ) \left(0,\ \infty\right) ( 0 , ∞ )

( − ∞ , 0 ) \left(-\infty,\ 0\right) ( − ∞ , 0 )

Which statements are TRUE regarding the following exponential function? Select BOTH that apply. f ( x ) = − 4 ( 2 ) x + 3 f\left(x\right)=-4\left(2\right)^{x+3} f ( x ) = − 4 ( 2 ) x + 3

There is a reflection across the x-axis.

There is a horizontal shift left 3 units.

There is a vertical shrink of scale factor − 4 -4 − 4 .

There is a vertical shift up 3 units.

There is a reflection across the y-axis.

In the following exponential function, what does the − 1 -1 − 1 mean? f ( x ) = 5 − x − 1 f\left(x\right)=5^{-x-1} f ( x ) = 5 − x − 1

There is a horizontal shift right 1 unit.

There is a horizontal shift left 1 unit.

There is a vertical shift up 1 unit.

There is a vertical shift down 1 unit.

If this exponential graph had the following transformation(s), where would the new y-intercept be located? f ( x + 2 ) f\left(x+2\right) f ( x + 2 )

( 0 , 4 ) \left(0,\ 4\right) ( 0 , 4 )

( 4 , 0 ) \left(4,\ 0\right) ( 4 , 0 )

( 0 , 2 ) \left(0,\ 2\right) ( 0 , 2 )

( 2 , 0 ) \left(2,\ 0\right) ( 2 , 0 )

What transformation(s) will occur to the parent function given: − f ( x ) + 5 -f\left(x\right)+5 − f ( x ) + 5 Select BOTH that apply.

A reflection across the x-axis.

A reflection across the y-axis.

A horizontal shift left 5 units.

Given f ( x ) = 4 x f\left(x\right)=4^x f ( x ) = 4 x write function rules based on the description: g ( x ) g\left(x\right) g ( x ) is f ( x ) f\left(x\right) f ( x ) reflected over the x-axis and moved right 3 units

g ( x ) = − 4 x − 3 g\left(x\right)=-4^{x-3} g ( x ) = − 4 x − 3

g ( x ) = 4 − x − 3 g\left(x\right)=4^{-x-3} g ( x ) = 4 − x − 3

g ( x ) = 4 − x + 3 g\left(x\right)=4^{-x+3} g ( x ) = 4 − x + 3

g ( x ) = − 4 x + 3 g\left(x\right)=-4^{x+3} g ( x ) = − 4 x + 3

Given f ( x ) = 4 x f\left(x\right)=4^x f ( x ) = 4 x write function rules based on the description: h ( x ) h\left(x\right) h ( x ) is f ( x ) f\left(x\right) f ( x ) moved 7 units down with a vertical shrink of scale factor 1 3 \frac{1}{3} 3 1

h ( x ) = 1 3 ( 4 ) x − 7 h\left(x\right)=\frac{1}{3}\left(4\right)^x-7 h ( x ) = 3 1 ( 4 ) x − 7

h ( x ) = 1 3 ( 4 ) x + 7 h\left(x\right)=\frac{1}{3}\left(4\right)^x+7 h ( x ) = 3 1 ( 4 ) x + 7

h ( x ) = 4 ( 1 3 ) x − 7 h\left(x\right)=4\left(\frac{1}{3}\right)^x-7 h ( x ) = 4 ( 3 1 ) x − 7

h ( x ) = 4 ( 1 3 ) x + 7 h\left(x\right)=4\left(\frac{1}{3}\right)^x+7 h ( x ) = 4 ( 3 1 ) x + 7

What is the range of the following exponential growth?

( − ∞ , − 2 ) \left(-\infty,-2\right) ( − ∞ , − 2 )

( − 2 , − ∞ ) \left(-2,\ -\infty\right) ( − 2 , − ∞ )

Quiz: Graphing/Characteristics of Exponentials

9th Grade

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Quiz: Graphing/Characteristics of Exponentials

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF.BF.B.3, HSF-IF.C.7E, HSF-IF.C.8B

Standards-aligned

Melissa Westphal

Used 46+ times

FREE Resource

CCSS.HSF-IF.C.8B

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What horizontal translation occurred in the following exponential function?
$f\left(x\right)=-2^{x+3}+9$

Shifted right 3 units.

Shifted left 3 units.

Shifted up 9 units.

Shifted down 9 units.

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

The function moved up 9 units from the parent function.

The common ratio for the function is 2.

The function was vertically stretched by a scale factor of 3.

The function moved left 9 units from the parent function.

Tags

CCSS.HSF.BF.B.3

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Quiz: Graphing/Characteristics of Exponentials

30 questions

In the following exponential function, what does the −1-1−1 mean? f(x)=4x+2−1f\left(x\right)=4^{x+2}-1f(x)=4x+2−1

What is the asymptote for the following exponential function? f(x)=4x+2−1f\left(x\right)=4^{x+2}-1f(x)=4x+2−1

Is this function an exponential growth or exponential decay? f(x)=4x+2−1f\left(x\right)=4^{x+2}-1f(x)=4x+2−1

What horizontal translation occurred in the following exponential function? f(x)=−2x+3+9f\left(x\right)=-2^{x+3}+9f(x)=−2x+3+9

What is the range for the following exponential function? f(x)=−2x+3+9f\left(x\right)=-2^{x+3}+9f(x)=−2x+3+9

Does the following exponential function have a stretch or a shrink? If it does, state the scale factor. f(x)=−2x+3+9f\left(x\right)=-2^{x+3}+9f(x)=−2x+3+9

What signifies that the exponential function reflected across the y-axis?

Did the following exponential function reflect over the x-axis, y-axis, both or neither? f(x)=−2x−1−6f\left(x\right)=-2^{x-1}-6f(x)=−2x−1−6

Is this function an exponential growth or exponential decay? f(x)=−2x−1−6f\left(x\right)=-2^{x-1}-6f(x)=−2x−1−6

Which statement is NOT true in regards to the following exponential function? f(x)=3(2)x+9f\left(x\right)=3\left(2\right)^x+9f(x)=3(2)x+9

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In the following exponential function, what does the $-1$ mean?
$f\left(x\right)=4^{x+2}-1$

What is the asymptote for the following exponential function?
$f\left(x\right)=4^{x+2}-1$

Is this function an exponential growth or exponential decay?
$f\left(x\right)=4^{x+2}-1$

What horizontal translation occurred in the following exponential function?
$f\left(x\right)=-2^{x+3}+9$

What is the range for the following exponential function?
$f\left(x\right)=-2^{x+3}+9$

Does the following exponential function have a stretch or a shrink? If it does, state the scale factor.
$f\left(x\right)=-2^{x+3}+9$

Did the following exponential function reflect over the x-axis, y-axis, both or neither?
$f\left(x\right)=-2^{x-1}-6$

Is this function an exponential growth or exponential decay?
$f\left(x\right)=-2^{x-1}-6$

Which statement is NOT true in regards to the following exponential function?
$f\left(x\right)=3\left(2\right)^x+9$