Mathematics Functions and Financial Planning

Group 1

Use the vertical line test to determine which of the following relations are functions:

Source 1.1

Question 1a

Short answer

Graph a

Question 1b

Short answer

Graph b

Question 1c

Short answer

Graph c

Question 1d

Short answer

Graph d

Question 1e

Short answer

Graph e

Question 1f

Short answer

Graph f

Question 1g

Short answer

Graph g

Question 1h

Short answer

Graph h

Group 2

If ( f(x) = 3x - x^2 + 2 ), find the value of:

Question 2a

Short answer

f(0)

Question 2b

Short answer

f(3)

Question 2c

Short answer

f(-3)

Question 2d

Short answer

f(-7)

Question 2e

Short answer

f(\frac{3}{2})

Group 3

For a hot air balloon ride, the function ( H(t) ) gives the height of the balloon after ( t ) minutes. Its graph is shown alongside.

Source 3.1

Graph of H(t) showing height of the balloon over time

Question 3a

Short answer

Find ( H(30) ), and explain what your answer means.

Question 3b

Short answer

Find the values of ( t ) such that ( H(t) = 600 ). Interpret your answer.

Question 3c

Short answer

For what values of ( t ) was the height of the balloon recorded?

Question 3d

Short answer

What range of heights was recorded for the balloon?

Group 4

Heather has just retired at age 65. She has $900,000 in her savings fund. She “rolls over” the money into an annuity fund which returns 4% p.a. compounded monthly.

Question 4a

Short answer

If Heather withdraws $5400 per month to live on, how long will it take for the money in the fund to run out?

Question 4b

Short answer

If Heather wants the money to last until she is 90 years old, how much can she afford to withdraw each month?

Teach with AI superpowers

Why teachers love Class Companion

Import assignments to get started in no time.

Create your own rubric to customize the AI feedback to your liking.

Overrule the AI feedback if a student disputes.

Other Math Assignments