Answers 26-27 CFISD Algebra II B CRGraphing Exponential Functions

Graphing Exponential Functions — Cumulative exam Answers

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Mrs. Cho wrote the following problem on the board.Problem: Step 1: Step 2: Step 3: What should Mrs. Cho do next?

Find a common denominator for the two fractions.

Divide the numerator and denominator of the first fraction by x2 and y.

Multiply the numerators, multiply the denominators, and then simplify.

Multiply the first fraction by the reciprocal of the second fraction.

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Doug bought a new car for $25,000. He estimates his car will depreciate, or lose value, at a rate of 20% per year. The value of his car is modeled by the equation V = P(1 – r)t, where V is the value of the car, P is the price he paid, r is the annual rate of depreciation, and t is the number of years he has owned the car. According to the model, what will be the approximate value of his car after years?

$2,500

$9,159

$22,827

$23,791

For what values of x does ?

x = –3, x = 1

x = –1, x = 3

x = negative three-halves, x = 2

x = negative 2, x = three-halves

What is the range of the function graphed below?

y greater-than 0

y less-than 0

y less-than 0

y greater-than 0

A student showed the steps below while solving the equation by graphing.Step 1:Write a system of equations: Step 2: Use the change of base formula to rewrite the equations:Step 3:Graph the two equations:Step 4:Identify the x-value at the point of intersection:In which step did the student make the first error?

step 1

step 2

step 3

step 4

The times taken to assemble a clock at a factory are approximately normally distributed with a given mean = 3 hr and standard deviation = 0.5 hr. What percentage of the times are between 2 hr and 4 hr?

34%

47.5%

68%

95%

A scientist calculated the mean and standard deviation of a data set to be and . She then found that she was missing one data value from the set. She knows that the missing data value was exactly 3 standard deviations away from the mean. What was the missing data value?

129

147

360

369

How long is the arc intersected by a central angle of radians in a circle with a radius of 6 ft? Round your answer to the nearest tenth. Use 3.14 for .

1.0 ft

5.7 ft

6.3 ft

7.0 ft

Jerome solved the equation below by graphing.Which of the following shows the correct system of equations and solution?

; x = 3

; x = 4

; x = 33

; x = 44

Which function is shown in the graph below?

y = 2 Superscript x minus 2 Baseline + 3

y = 2 Superscript x + 2 Baseline + 3

y = 2 Superscript x minus 3 Baseline + 2

y = 2 Superscript x + 3 Baseline + 2

An angle in standard position measures radians, and P(0, 1) is on the terminal side of the angle. What is the value of the cosine of this angle?

–1

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Derek Jeter challenges Albert Pujols to a batting battle. Each will earn 1 point for a hit other than a home run and 4 points for a home run in each round. Which player should you back given the statistics in the table below? Note that home runs are included as hits in the table.Data for Two BattersBatterAt BatsHitsHome RunsJeter4881569Pujols44812526

E(Jeter) = 0.38 and E(Pujols) = 0.45, so back Pujols.

E(Jeter) = 0.39 and E(Pujols) = 0.51, so back Pujols.

E(Jeter) = 0.34 and E(Pujols) = 0.34, so it doesn’t matter who you back.

E(Jeter) = 1.22 and E(Pujols) = 0.94, so back Jeter.

In the triangle below, angle B measures 60° and BC is 18. What is the length of AC?

9 StartRoot 3 EndRoot

StartFraction 9 Over StartRoot 3 EndRoot EndFraction

StartFraction StartRoot 3 EndRoot Over 9 EndFraction

What is the range of the function f(x) = –2(6x) + 3?

(negative infinity, negative 2 Right-bracket

(negative infinity, 3)

Left-bracket negative 2, infinity)

Left-bracket 3, infinity)

What is the solution of ?

Which of the following is true for f(x) = –2sin(x) – 3?

The range of the function is the set of real numbers .

The graph of the function is the graph of f(x) = –2sin(x) shifted 3 units up.

The amplitude of the function is 2.

The period of the function is .

A function is graphed on a coordinate grid. As the domain values approach infinity, the range values approach infinity. As the domain values approach negative infinity, the range values approach negative infinity. To which family of functions might the described function belong?

absolute value

exponential

cube root

square root

The magnitude, M, of an earthquake is defined to be , where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a “standard” earthquake, which is barely detectable. What is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? Use a calculator. Round your answer to the nearest tenth.

4.5

6.9

When m = 2 and p = , j = 32. If j varies directly with m and inversely with p, what is the constant of variation?

256

Opal is collecting data on water levels in different parts of town. She notices that her sample data has a low-value outlier. Which statement must be true?

Removing the outlier will not change the spread of the graph of the data set.

Removing the outlier will not change the variance of the data set.

Removing the outlier will increase the variance of the data set.

Removing the outlier will decrease the spread of the graph of the data set.

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Graphing Exponential Functions — Cumulative exam Answers

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