Free Printable Sem 2 Test 5A

1.

Graph y=2(3)^x

2.

Graph y=3(1/3)^x

3.

Graph y= 1/3 x

4.

Graph y= - 4x -3

5.

How do you know that this was exponential decay? $f\left(x\right)=90\ \left(\ \frac{1}{2}\right)^x$

a)

Because the 90 was bigger than one

b)

Because the 1/2 was bigger than one

c)

Because the 90 was less than one

d)

Because the 1/2 was less than one

6.

Which of the following exponential functions represents an initial value of 1450 and a decay of 18% for x years?

a)

$y=1450\left(0.18\right)^x$

b)

$y=1450\left(1.18\right)^x$

c)

$y\ =\ 1450\ -\left(0.18\right)^x$

d)

$y=1450\left(0.82\right)^x$

7.

Chloe was studying earthquake waves in Japan. The function of $f\left(x\right)=354\left(1.15\right)^x$ gives the number of waves at the end of x days. What is the growth rate for this function?

a)

The initial number of waves is 15.

b)

The initial number of waves decreases at a rate of 85% each day.

c)

The initial number of waves increases at a rate of 15% each day.

d)

The number of waves at the end of one day is 354.

8.

The current population of India (2021) is 1.393 billion people, at an annual rate of increase of 97%. Which exponential function models the population, in billions of people, of India after x number of years?

(a)

Choose from the below words

$P\left(x\right)=1.393\left(1.97\right)^x$

$P\left(x\right)=1.393\left(0.3^x\right)$

$P\left(x\right)=1.393\left(1.3\right)^x$

$P\left(x\right)=1.393\left(0.97\right)^x$

9.

What kind of shift happens with this function?

a)

4 points up

b)

4 points to the left

c)

4 points to the right

d)

4 points down

10.

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

a)

14327

b)

4309

c)

839

d)

7680

11.

What does the a in y=a(1+r)^x represent?

a)

Time

b)

Rate

c)

Slope

d)

Initial Amount

12.

In an exponential function, what does the 'a' represent?

a)

SLOPE

b)

RATE OF CHANGE

c)

STARTING VALUE
(y-intercept)

d)

GROWTH FACTOR

Sem 2 Test 5A

Total questions: 12

Worksheet time: 27mins

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