Unit 3A Test- Study Guide AnswersCCGPS Coordinate Algebra

1) For the function find

F(3) = 8

2) Use the table below to find

x /
-11 / 12
-7 / 7
-3 / 2
1 / -3

F(-11) = 12

3) Use the graph below to find the x-value when

F(2) = 2

Or

x = 2

4) Identify the function(s) for which

I. f(3) = 3(3) – 8 = 1

II. f(3) = 23 = 8

III. f(3) = 43 – 12 = 64 – 12 = 52

5) For the functions

(f-g)(x) = (2x - 6) - (20x +14)

=2x – 6 – 20x – 14

= - 18x -20

6) The length of a rectangle is defined by the function . The width of a rectangle is found by the function . Determine the function that would define the area of the rectangle.

a) b)

c) d)

7) The formula can be used to find the time(t) when given the distance(D) a car has traveled given a rate(r). If the distance a car has traveled is defined by the function and the rate is defined by the function , find the time it has taken to travel the given distance and rate.

a) b)

c) d) Cannot be determined

8) The domain of the following function(s) can be defined as All Real Numbers.

I. Linear Functions

II. Exponential Functions

9) Define the range of the following graph All Real Numbers or (,

10)Describe the intervals of increase/decrease for the graph below.

Always Increasing or

Increasing from or (,

11) Describe the end behavior of the graph below.

a) b)

c) d)

12) Which of the following function(s) have y-axis symmetry. Neither, Linear can have symmetry about the origin, but only when the line passes through the origin

I. Linear Functions

II. Exponential Functions

13) Identify the intercepts of the linear function graphed below

Y-int = -3

X-int = 2

14. Find the range of f(x) = 3x – 2 when the domain is {-5, -2, -1}

Range = {-17, -8, -5}

15. Which function that satisfies f(-3) = 5 and f(0) = -1?

a) f(x) = -2x - 1 / b) f(x) = 3x +4 / c) f(x) = 3x - 1 / d) f(x) = 2x + 1

16. Given the function f(x) = 3x , which characteristic is false?

a) Range is y > 0 / b) it has no x-intercept / c) the graph is never increasing / d) f(x) is positive for all values of x

17. If f(x) = 3x + 5 and g(x) = 2x , which comparison is not true?

a) f(4) > g(4) / b) g(0) – g(3) > f(0) – f(3) / c) g(x) will increase at a slower rate than f(x) / d)

18. Which point lies on the graph of both functions f(x) = -x + 5 and g(x) = x + 1?

a) (-3, -1) / b) (2, 4) / c) (-1, 7) / d) (2,3)

19. A deposit of $3000 earns 5% annual interest compounded yearly. The equation

can be used to find the amount in the account. What would each variable represent?

a) t = percent interest / b) t = deposit with interest / c) P = beginning deposit / d) y = number of years

20. When will the exponential function f(x) = a ∙ bx will decrease?

a) if b < -1 / b) if -1 < b < 0 / c) if 0 < b < 1 / d) if 0 < a < 1

21. If 8 is the solution to f(x) = 5, what is the coordinate found on the graph of the function?

a) (8, 5) / b) (-5, -8) / c) (-8, 5) / d) (5, 8)

Short Responses:

22. What does f(0) = 10 represent in the graph below?

23. You are going to deposit money into an account that earns interest using the formula You plan on leaving the money in the account for 25 years. Is it better to deposit $500 in an account paying 8.5% interest compounded annually or $6250 in an account paying 8% compounded annually? You will make no additional deposits.

$500$6250The $6250 deposit is the better investment.

$3843.38$42802.97

24. The half-life of radioactive carbon-11 is 30 minutes. You start an experiment with 140 mCi of carbon-11.

a) What is the independent variable? Time

b) What is the dependent variable? Carbon-11

c) What is the rate at which the radioactivity is decreasing? 1/2

d) Graph the half-life of the radioactive carbon-11 from 0 to 3 hours.

e) How much radioactivity remains after 2 hours? 8.75 mCi