Quiz about HW - Unit 6 Final Review - Exponential Functions

Question 1

Which equation matches the graph?

Accepted Answer

y = 2x

Answer

y = 2x+3

Answer

y = 2^x + 3

Answer

y = 2-x

Question 2

What type of function is f(x)=2(1/7)^x ?

Accepted Answer

Exponential Decay

Answer

Exponential Growth

Answer

Linear

Answer

None of the Abovee

Question 3

What type of function is y = 7(5/4)^x?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None of the above

Question 4

What is the equation of the horizontal asymptote for following exponential function?

Accepted Answer

y = -4

Answer

y > -4

Answer

y < -4

Answer

(0, -3)

Question 5

Which dashed line is the asymptote of this graph?

Accepted Answer

s

Answer

q

Answer

r

Answer

t

Question 6

Which of the following is an exponential function?

Accepted Answer

f(x) = 3x

Answer

y = x2

Answer

f(x) = 3x³

Answer

y = x3

Question 7

What is the transformation?

Accepted Answer

Reflection across the x-axis

Answer

Horizontal Translation left 2

Answer

Vertical Translation down 2

Answer

None

Question 8

How has the function $$-\left(3\right)^x+4$$ been transformed from the parent function $$\left(3\right)^x$$ ? Select all that apply.

Accepted Answer

Shifted up 4

Accepted Answer

Reflection over the x-axis

Answer

Shifted down 4

Answer

Shifted down 5

Answer

Reflection over the y-axis

Question 9

What transformations occur in the following function?

Accepted Answer

right 3, up 2

Answer

left 3, up 2

Answer

left 3, down 2

Answer

right 3, down 2

Question 10

If g(x) is a transformation of f(x), describe the transformation.

$f\left(x\right)=2^x$ $g\left(x\right)=2^x+4$

Accepted Answer

Up 4 units

Answer

Down 4 units

Answer

Left 4 units

Answer

Right 4 units

Question 11

Determine the horizontal asymptote for the function

f(x) = 3(2)^x-4+ 5

Accepted Answer

y=5

Answer

x=4

Answer

y=4

Answer

x=5

Question 12

$$x^{-5}$$ =

Accepted Answer

$$\frac{1}{x^5}$$

Answer

$$\frac{1}{x^{-5}}$$

Answer

$$\frac{x^5}{1}$$

Answer

$$\frac{x^{-5}}{1}$$

Question 13

$$x^{-3}\cdot x^7\cdot x^2$$ =

Accepted Answer

$$x^6$$

Answer

$$x^{12}$$

Answer

$$x^{-42}$$

Answer

$$x^{-12}$$

Question 14

$$\frac{x^{17}}{x^8}$$

Accepted Answer

$$x^9$$

Answer

$$x^{25}$$

Answer

$$x^{-9}$$

Answer

$$x^{-25}$$

Question 15

$$\frac{9x^2}{3x^{ }}=$$

Accepted Answer

$$3x$$

Answer

$$3x^2$$

Answer

$$9x$$

Answer

$$6x$$

Question 16

$$\frac{a^5b^{10}}{a^3b^6}=$$

Accepted Answer

$$a^2b^4$$

Answer

$$a^8b^{16}$$

Answer

$$a^{15}b^{60}$$

Answer

$$a^2b^{16}$$

Question 17

9n⁴ . 6n⁷

Accepted Answer

54n11

Answer

15n11

Answer

54n28

Answer

3n3

Question 18

Simplify using your exponent rule(s) (2x³y)⁶

Accepted Answer

64x¹⁸y⁶

Answer

2x¹⁸y⁶

Answer

64x3y6

Answer

2x3y6

Question 19

$$8v^{-3}$$

Accepted Answer

$$\frac{8}{v^3}$$

Answer

$$8\ \cdot\ -v\ \cdot\ -v\ \cdot\ -v\ $$

Answer

$$\frac{v^3}{-8}$$

Answer

$$-8v^3$$

Question 20

Simplify the following
(no negative exponents):
$$4a^3b^2\cdot3a^{-4}b^{-3}$$

Accepted Answer

$$\frac{12}{ab}$$

Answer

$$7a^{-1}b^{-1}$$

Answer

$$12ab$$

Answer

$$\frac{12}{a^{12}b^6}$$

Question 21

Simplify the following:

$$(5x^5)^2$$

Accepted Answer

$$25x^{10}$$

Answer

$$25x^7$$

Answer

$$10x^{10}$$

Answer

$$10x^7$$

Question 22

Simplify the exponential expression.

Accepted Answer

8x6y12

Answer

2x6y12

Answer

2x5y7

Answer

8x5y7

Question 23

Simplify: $$\frac{12x^5y^4}{2x^9y}$$

Accepted Answer

$$\frac{6y^3}{x^4}$$

Answer

$$6x^{-4}y^3$$

Answer

$$\frac{12y^3}{2x^4}$$

Answer

$$\frac{6x^{-4}}{y^3}$$

Question 24

Question 24.

Accepted Answer

W

Answer

O

Answer

R

Answer

K

HW - Unit 6 Final Review - Exponential Functions

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