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Exponential Function 5 Item MCQ. ANSILUZ H. BETCO San Bartolome High School. NEXT. Directions. Read and analyze the following questions properly. Click on the correct answer. BACK. NEXT. 1 . Which of the following define an exponential function?. BACK. NEXT.

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Exponential function 5 item mcq

Exponential Function5 Item MCQ

ANSILUZ H. BETCO

San Bartolome High School

NEXT


Directions
Directions

Read and analyze the

following questions

properly. Click on the

correct answer.

BACK

NEXT


1 which of the following define an exponential function
1. Which of the following define an exponential function?

BACK

NEXT

a) 2x2 + 3x – 6= 8

b) 2/3 m – 5 = 15

c) y = 2x + 1

d) p3 + 2p -3 = 0


Correct!!

Feedback to Q1

BACK


Exponential function
Exponential Function

Definition:

→ If a>0 and a ≠ 1,then the exponential function with the base a is a function defined by f(x) = ax, where x is any real numbers.

→ therefore y= 2x +1 is the only equation wherein the exponent x vary.

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2 which of the following graphs represent an exponential function
2) Which of the following graphs represent an exponential function?

a)b)

d)

c)

BACK

NEXT


Correct!!

Feedback to Q2

BACK


Graph of exponential function
Graph of Exponential Function

The graph of y = ax is upward-sloping, and

increases faster as x increases. The graph

always lies above the x-axis but can get

arbitrarily close to it for negative x; thus,

the x-axis is a horizontal asymptote. The

slope of the graph at each point is equal

to its y coordinate at that point.

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3 solve for x 9 3x 1 3 5 x
3) Solve for x: 93x = (1/3)5-x

a) x = 1

b) x = -1

c) x = 2

d) x = -2

BACK

NEXT


Correct!!

Feedback to Q3

BACK


3) 93x = (1/3)5-x

  • Solution

    93x = (1/3)5-x

    32(3x)= 3-1(5-x) change the equation with same base

    6x = -5+x bring down the exponents

    5x = -5 solve for x

    x = -1 answer

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4) A certain city has a population of 20000 and a growth rate of 3.5%.What will be the expected population after 3 years?

  • 24,145

  • 23,501

  • 23,219

  • 22,174

BACK


Correct!!

Feedback to Q4

BACK


The Exponential Growth is in the form

Y = P( 1 + r)xwhere P = original number

r = rate of change

x = unit of time

y = total number after x years

So, P = 20000 r = 3.5% or 0.035 t = 3 years

Substitute Y = P( 1 + r)x

= 20,000 (1 + .035)3

= 20,000 (1.035)3

= 20,000 (1.1087)

= 22,174 expected population after 3 yrs

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5) If a car depreciates at an annual rate of 15%, how much would be its value at the end of two years if its cost is $450,000 when new? a) $325,125 b) $276,356c) $315,134d) $412,300

BACK


Correct!!

Feedback to Q5

BACK


The Exponential Decay is in the form

Y = P( 1 - r)xwhere P = original amount

r = rate of change

x = unit of time

y = total amount after x years

So, P= $450,000 r = 15% or 0.15 t= 2 years

Substitute Y = P( 1 - r)x

= 450,000 (1 - .15)2

= 450,000 (0.85)2

= 450,000 (0.7225)

= $325,125 amount of car after 2 years

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