Quiz about Alg 1 Final Review #3

Question 1

Create the explicit formula for the sequence:

2, 8, 14, ...

Accepted Answer

a_n= 6n - 4

Answer

a_n= 2 + 6n

Answer

a_n= -6 + 6n

Answer

a_n= 4 - 6n

Question 2

Which of the following is an explicit function for the sequence: 3, 8, 13, 18, 23, 28

Accepted Answer

f(n) = 5n - 2

Answer

f(n) = 3n + 5

Answer

f(n) = 5n + 2

Answer

f(n) = -2n + 5

Question 3

On analyzing a function, JaRiya finds that $$f\left(5\right)=12$$ . This means that the graph of $$f$$ passes through the point

Accepted Answer

(5, 12)

Answer

(12, 15)

Answer

(4, 12)

Answer

(5, 10)

Question 4

While examining a function, Alex discovers that $$g\left(3\right)=7$$ . This indicates that the graph of $$g$$ passes through the point

Accepted Answer

(3, 7)

Answer

(7, 3)

Answer

(2, 7)

Answer

(3, 6)

Question 5

Given the first five terms, write the recursive formula.
15, 12, 9, 6, 3 ....

Accepted Answer

a₁ = 15
a_n = a_n-1 - 3

Answer

a₁ = 15
a_n = a_n-1 + 3

Answer

a₀ = 15
a_n = a_n-1 + 3

Answer

a₀ = 15
a_n = a_n-1 - 3

Question 6

Given the first four terms, write the recursive formula.

Accepted Answer

a₁ = 20
a_n = a_n-1 - 4

Answer

a₁ = 4
a_n = a_n-1 -20

Answer

a₁ = 20
a_n = a_n-1 + 4

Answer

a₁ = 4
a_n = a_n-1 - 4

Question 7

The first term of a sequence is 5. The recursive formula for the sequence is $$a_n=a_{\left(n-1\right)}-4$$ . What are the next 3 terms in the sequence?

Accepted Answer

1, -3, -7

Answer

9, 13, 17

Answer

1, 5, 9

Answer

1, -2, -5

Question 8

The first term of a sequence is 8. The recursive formula for the sequence is $$a_n=a_{\left(n-1\right)}+3$$ . What are the next 3 terms in the sequence?

Accepted Answer

11, 14, 17

Answer

5, 2, -1

Answer

8, 11, 14

Answer

10, 13, 16

Question 9

Express $$y=5x-4$$ using function notation.

Accepted Answer

$$f\left(x\right)=5x-4$$

Answer

$$x=5y-4$$

Answer

$$f\left(y\right)=5x-4$$

Answer

$$f\left(x\right)=5y-4$$

Question 10

Rewrite $$y=3x+7$$ in function notation.

Accepted Answer

$$f\left(x\right)=3x+7$$

Answer

$$x=3y+7$$

Answer

$$f\left(y\right)=3x+7$$

Answer

$$f\left(x\right)=3y+7$$

Question 11

Write the function for the following table:

Accepted Answer

f(x) = 27(1/3)^x

Answer

f(x)= 1/3x + 27

Answer

f(x)= 3x+27

Answer

f(x)= 243(3)^x

Question 12

Which equation is represented by the table?

Accepted Answer

$$y=2^x$$

Answer

$$y=\frac{1}{8}\left(2\right)^x$$

Answer

$$y=\frac{1}{8}\left(\frac{1}{2}\right)^x$$

Answer

$$y=2\left(2\right)^x$$

Question 13

Find the equation of the exponential function represented by the table.

Accepted Answer

$$f\left(x\right)=4\left(3\right)^x$$

Answer

$$f\left(x\right)=3\left(4\right)^x$$

Answer

$$f\left(x\right)=3+4x$$

Answer

$$f\left(x\right)=4\left(4\right)^x$$

Question 14

Scientists have determined that a certain bacteria, with an initial population of 300, doubles every hour. Which function matches this situation?

Accepted Answer

$$y=300\left(2\right)^x$$

Answer

$$y=300\left(x\right)^2$$

Answer

$$y=2\left(300\right)^x$$

Question 15

A colony of algae starts with a population of 500 and triples ever hour. Which function represents this growth?

Accepted Answer

$$y=500\left(3\right)^x$$

Answer

$$y=3\left(500\right)^x$$

Answer

$$y=500\left(x\right)^3$$

Question 16

Select the explicit rule that represents the sequence.

Accepted Answer

a(n) = 6 + 5(n - 1)

Answer

a(n) = 4 + 6(n - 1)

Answer

a(n) = 6 - 4(n - 1)

Alg 1 Final Review #3

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