STAAR Algebra Review Day 9

Multiple Select

Select 2 correct answers.

• The coordinates of the y-intercept are (0, 16).

• The graph includes the point (4, 1).

• The coordinates of the x-intercept are (16, 0).

• The graph has no horizontal asymptote.

Math Response

Write a function that can be used to model the number of foxes in the

Rocky Mountain National Forest after x years.

Type answer here

Correct Answer: y=76000\left(0.98\right)^x

Deg^°

Rad

Multiple Choice

Which graph represents the function?

• A
• B
• C
• D

Multiple Choice

1. The table represents some points on the graph of an

exponential function. Write the function that

represents this relationship.

• y = 3 * 2^x
• y = 3 * 3^x
• y = 4 * 3^x
• y = 2 * 2^x

Multiple Choice

2. The table represents some points on the graph of an

exponential function. Write the function that

represents this relationship.

• f(x) = -4 * 2^x
• f(x) = 2 (1/4)^x

• f(x) = -2 * 2^x
• f(x) = -2 (1/4)^x

Multiple Choice

3.An exponential function is graphed on the grid.

Write the function that is best represented by the

graph.

• g(x)= -3(3)^x

• g(x)= 3(10)^x

• g(x)= -3 (2)^x

• g(x)= 2 (0.5)^x

Math Response

4. An exponential function is graphed on the grid. Write

the function that is best represented by the graph.

Type answer here

Correct Answer: y=4\left(0.5\right)^x

Deg^°

Rad

Multiple Choice

A bacteria colony with a population of 250,000 is

given an antibiotic that kills half of the colony each

day. Write the exponential function that models this

situation.

• y = 250000 * (3/4)^x

• y= 250000 * (1/2)^x

• y = 250000 * e^(-x)

• y= 250000 - 125000x

Math Response

6. Pablo deposited $12,500 into a bank account that earns 1.25% interest compounded annually. Write a

function that models the total amount Pablo would have in his account after x years.

Type answer here

Correct Answer: y=12500\left(1.0125\right)^x

Deg^°

Rad

Multiple Choice

A= y-intercept

B= asymptote

• y-intercept: (0, 1/2)

  asymptote: y = 1

• y-intercept: (0,0)

  asymptote: y = 2

• y-intercept: (0, 1/3)

  asymptote: y = -1

• y-intercept: (0, 1/4)

  asymptote: y = 0

Multiple Choice

7. The population of Pinedale was 1,900 in 2000. The

population increases by 4% each year. Write the

exponential function that models this situation.

• P(t) = 1900 + 0.04t
• P(t) = 1900 * (1.05)^t
• P(t) = 1900 * (1.02)^t
• P(t) = 1900 * (1.04)^t

Multiple Choice

8. The amount of inventory a manufacturing company

has in a warehouse decreases at a rate of 8% each

month. The company originally had 14,000 items in

their inventory. Write the exponential function that

models the amount of inventory left after m months.

• f(m) = 14000 * (0.92)^m

• f(m) = 14000 * (0.88)^m

• f(m) = 14000 * (1.08)^m

• f(m) = 14000 * (0.75)^m

Multiple Choice

A= y-intercept

B= asymptote

• y-intercept (0, -10)

  asymptote y= 2

• y-intercept (0, 10)

  asymptote y= 5

• y-intercept= (0, -25)

  asymptote y= 0

• y-intercept (0, 0,

  asymptote y= -5

Multiple Choice

11. Determine the values of the graph.

• y-intercept: (0,5) Asymptote: 0, Decay function

• y-intercept: (0,3) Asymptote: 5, Growth function

• y-intercept: (0,0) Asymptote: 5, Growth function

• y-intercept: (0,5) Asymptote: -3, Growth function

Multiple Choice

12. Determine the values of the graph.

• y-intercept: (0,3) Asymptote: y = 6, Decreasing function

• y-intercept: (0,6) Asymptote: y = 0, Increasing function

• y-intercept: (0,0) Asymptote: y = 6, Constant function

• y-intercept: (0,6) Asymptote: y = 3, Decreasing function

Graphing

f(x)= -3(2)^x

Graphing

f(x) = 16 (1/2)^x

Multiple Choice

The function is a _____ function because _____.

• decreasing because a>1 & 0<b<1

• constant because a>1 & 0<b<1

• increasing because a>1 & 0<b<1

• oscillating because a>1 & 0<b<1

Multiple Choice

What is the y intercept and the asymptote?

• y-intercept: (0,0) Asymptote: y = 3

• y-intercept: (0,-1) Asymptote: y = -2

• y-intercept: (0,-3) Asymptote: y = 0

• y-intercept: (0,2) Asymptote: y = 5

Graphing

y= 4(2)^x

Multiple Choice

What is the y intercept and the asymptote?

• y-intercept: (0,0) Asymptote: y = 4

• y-intercept: (0,2) Asymptote: y = 1

• y-intercept: (0,5) Asymptote: y = -1

• y-intercept: (0,4) Asymptote: y = 0