Which statement about the graph of $$y=\frac{1}{2}\left(\frac{5}{2}\right)^x$$ is true? Sect Two

The graph crosses the y-axis at $$\left( 0, \frac{1}{2} \right)$$ .

The graph has an asymptote at $$y=\frac{1}{2}$$ .

The population of a certain type of beetle can be modeled by the function $$h(x)=25(0.80)^x$$ . Which statement is the best interpretation of the values in h(x)?

The population of beetles decreases by 20% per month.

The population of beetles Increases by 20% per month.

The population of beetles decreases by 25 beetles per month.

The population of beetles decreases by 0.80 beetles per month.

Bryce opened a bank account that earns annual compound interest. He did not make any additional deposits or withdrawals after the initial deposit. The balance in the account after x years can be modeled by $$b(x)=950(1.045)^x$$ . Which statement is the best interpretation of one of the values in this function?

B. The balance in the account increases at a rate of 4.5% each year.

A. The initial balance of the account decreases at a rate of 95.5% each year.

C. The initial balance of the account was $1,045.

D. The balance in the account at the end of one year is $950.

Ricardo uses f(x) = 5000(1.08)^x to calculate the interest he earns each year on his investments. Which statements are true? Select TWO correct answers.

A. He initially invested $5,000.

C. Every year he earns 8% interest on his investments.

B. Every year he earns 0.08% interest on his investments.

D. He initially invests $5,108 in his savings account.

E. Every year he earns 80% interest on his investments.

Identify the $$y$$ -intercept and the asymptote of the graph of the function. $$f\left(x\right)=75\left(2\right)^x$$

$$y$$ -intercept = 75 asymptote: $$y = 0$$

$$y$$ -intercept = 2 asymptote: $$x = 0$$

$$y$$ -intercept = 75 asymptote: $$x = 0$$

$$y$$ -intercept = 2 asymptote: $$y = 0$$

Unit 21 Review

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF-IF.C.7E, HSF-IF.C.8B, HSF.LE.A.2

+2

Standards-aligned

Myrtle Dillon Rogers

Used 4+ times

FREE Resource

19 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A part of exponential function f is graphed on the grid. Which inequality best represents the range of the part shown?

x > 1

y > 1

x > -2

y > -2

Tags

CCSS.HSA.REI.D.12

2.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

The graph of an exponential function is shown on the grid. Based on the graph, what is the domain and range of the function? Choose TWO correct answers.

D. Range: all real numbers

A. Domain: x < 0

E. Range: x < 0

C. Domain: all real numbers

B. Domain: y < 0

Tags

CCSS.HSF-IF.C.7E

3.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

The graph of an exponential function is shown on the grid. Based on the graph, which of the following statements about the function is Not True? Select the THREE that apply.

D. The function has a vertical asymptote at x=-1.

C. The y-intercept is (0,1).

E. The graph represents exponential growth.

B. The range is all real numbers greater than -1.

A. The domain is all real numbers.

Tags

CCSS.HSF-IF.C.7E

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A. The domain is all real numbers greater than or equal to 2.

B. The range is all real numbers less than 0.

C. The domain is all real numbers less than or equal to 0.

D. The range is all real numbers.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which graph best represents the exponential function with a y-intercept of 1 and an increase rate of 50%?

Tags

CCSS.HSF-IF.C.7E

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Identify the type of function represented by each graph.

Exponential Growth

Exponential Decay

Linear

Quadratic

Tags

CCSS.HSF-IF.C.7E

7.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

The graph has a vertical asymptote.

The graph increases from left to right.

Tags

CCSS.HSF-IF.C.7E

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