Warm Up

Warm Up1. Determine whether each function is

one-to-one.

a) y = 2x3 – 3x

b) y = 6x +14

c) y = 5x2 – x + 3

d)

2. Find the inverse of

6x 5f(x)

3x 1

2x 7y

x 1

Homework Questions?

Functions Trashketball

1. Write an equation of the line that contains (3, 4) and has a slope of 2.

(slope – intercept form)

2. Write an equation of the line that contains (-2, 8) and (7, -19).

(point-slope form)

3. Find y so that the line containing (-1, y) and (9, -8) has a slope of -3/5.

4. Patrick’s doll-making business has weekly fixed costs of $350. If the cost for materials is $4.70 per doll

and his total weekly costs average $500,

how many dolls does Patrick make each week.

CALCULATOR

The data below shows the average SAT math score for several years.

5. Let x = 0 represent 1990, write a linear equation for the average SAT math score in terms of years since 1990.

6. Use the equation to predict the average SAT math score in 2006.

Year 1995

1997

1998

1999

2000

2001

2002

2003

2004

Score

506 511 512 511 514 514 516 519 518

7. The Buster Shoe Company can make 225 pairs of a certain shoe for $3775 and can make 415 pairs of the same shoe for $6625.

a) Find an equation to model the cost C of making x pairs of shoes

b) Interpret the slope as a rate of change.

8. Find the domain of the function

Give your answer in interval notation.

9. Find the domain of the function

Give your answer in interval notation.

𝑓 (𝑥 )=𝑥2+√𝑥+5

10. Find the range of the function

Give your answer in interval notation.

11. Find the range of the function

Give your answer in interval notation.

𝑓 (𝑥 )=𝑥2+2 𝑥+1

12. Name the parent function for each.

A) B)

C) D)

Describe the transformations from the parent graph.

13. y = 2x2 – 5

14. y = -|x + 7|

15.. 14

y (x 2)

16. Suppose the point (1, -9) lies on a graph. Determine another point…

a) If the graph is an even function.

b) If the graph is an odd function.

c) That would lie on the inverse of the function.

17. State whether the function is even, odd or neither. Prove algebraically.

y = 3x2 – 4|x|

18. Let f(x) = x + 1 and g(x) = . Find the function g(f(x)) and state the domain.

19. Let f(x) = and g(x) = x - 5. Find the function (f/g)(x) and state the domain.

20. Sketch the graph and give the domain and range.

a)

b)

2y 4 x

2y 2(x 1) 3

Write an equation for the graph shown below.