Test your basic knowledge |

CLEP College Algebra: Functions

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. What type of slope do you have when a line falls left to right and m<0?
because the demintor of a quotient can never equal zero
in a quotient
even
negative slope

2. Why can h not equal zero in the difference of a quotient function formula?
inconsistant
because the demintor of a quotient can never equal zero
The secant line
f(x)=3 square root x

3. What is the domain of the cube root function?
Y=b
Y= then enter the number then press graph
parabola
(-infinity - +infinity)

4. A flat line underlining one vertical line is a symbol for
only one
(-infinity - +infinity)
perpendicular line
Y= then enter the number then press graph

5. When is the only time (-infinity - +infinity) is not the domain?
inconsistant
in a quotient
(-infinity - +infinity)
f(x)=IxI

6. What can we substitute for f(x)?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y
(-infinity - +infinity)
The slope of a line containing two points

7. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
x^2
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
undefined

8. What are the four steps for solving a linear equation?
down
45 degree angle
remove grouping symbols and combine like terms - variables on one side of = and numbers on the other - isolate the variables and solve and check anwser.
inconsistant

9. y=f(cx) what does this formula represent?
f(x2)-f(x1) / x2-x1
f(x)=3 square root x
As many as you like
0<c<1 - horizontal stretching

10. What is the domain and range of a constant function?
Any set of ordered pairs
odd
(-infinity - +infinity)
Line ascending to the right gradually

11. Is a constant function even - odd or neither?
even
The second set of components of an ordered pair
neither
down

12. What type of function would you use to calculate the most advantageous cell phone plan?
(-infinity - +infinity)
Cannot be drawn in quizlet
Piecewise
Set the x and y to zero and get the intercepts and then plot the points

13. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
(-infinity - 0]U[0 - +infinity)
C>1 - horizontal shrinking
in a quotient

14. x=no real numbers is what type of an equation?
f of g and g of f
inconsistant
odd
horizontal left

15. Which direction does f(x-c) move
horizontal right
[0 -+infinity)
When does a graph not define y as a function of x?
The single number y=

16. What are the steps for solving a word problem?
Carefuly understand let x be one of the unknowns - write expressions for any other unknowns in terms of x - write an equation in x that models the verbal conditions of the problem - solve the equation - check solution in the original wording of the p
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Piecewise
2nd key - x^2 - graph

17. What is a constant function?
2nd key - x^2 - graph
f(x^1)=f(x^2)
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)

18. What is the formula for the cube root function?
Y=IxI
(-infinity - +infinity)
f(x)=3 square root x
(-infinity - +infinity)

19. what is the formula for slope?
A line passing through two distinct points
Change in y / change in x = rise / run = y2-y1 / x2-x1
parabola - up one and right three
(-infinity - +infinity)

20. What is the range for the standard cubic function?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
Conditional
C>1 - horizontal shrinking

21. What type of slope do you have when a line rises from left to right and m>0?
Square Root
The single number y=
postiive slope
negative slope

22. What are the algebra of functions?
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
odd

23. Is a standard quadratic function even - odd or neither?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
even
same
2nd catalog (zero key -) abs(x) - graph

24. What is the range of a square root function?
[0 -+infinity)
20+.05x=5+.10x x=minutes
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
even

25. What is an identity function?
[0 -+infinity)
(-infinity - +infinity)
45 degree angle
Set the x and y to zero and get the intercepts and then plot the points

26. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
Square Root
identity
inconsitent

27. How are functions normally written?
2nd key - x^2 - graph
f(x^1)=f(x^2)
because the demintor of a quotient can never equal zero
As equations

28. What is the formula for an absolute value function?
A V
f(x)=IxI
Y=IxI
0<c<1 - horizontal stretching

29. What is the range for a standard quadratic function?
neither
(-infinity - 0]U[0 - +infinity)
Y
f(x)=x^3

30. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
parabola
inconsistant
(-infinity - 0]U[0 - +infinity)

31. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
f(x)=+c and f(x)-c
odd
Yes because two x's or domains can point to one y
20+.05x=5+.10x x=minutes

32. What are the calculator instructions for a standard quadratic equation?
45 degree angle
Y=x^2 - graph
Change in y / change in x = rise / run = y2-y1 / x2-x1
f of g and g of f

33. What is another way to write f(x)=x - what type of function is this?
(-infinity - +infinity)
Y=x - identity function
(-infinity - +infinity)
f of g and g of f

34. What does the standard cubic function look like on a graph?
As equations
Mirror image neg quadrant to that of the positive quandrant
45 degree angle
The opposite coordinates

35. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
down

36. In an identity function if f(10)=x than what is y?
45 degree angle
Yes - all the domains points to one range
odd
Y=10

37. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
Y=x^2 - graph
identity
(-infinity - +infinity)

38. What does the square root function look like on a graph?
x = the original sale price and the formula is x - .40x =$276
Absolute Value - Constant and Standard Quadratic
Line ascending to the right gradually
(-infinity - +infinity)

39. Draw or discuss a decreasing function
f(x)=3 square root x
because the demintor of a quotient can never equal zero
(-infinity - +infinity)
Cannot be drawn in quizlet

40. What type of slope do you have when m=? and the line is vertical?
Carefuly understand let x be one of the unknowns - write expressions for any other unknowns in terms of x - write an equation in x that models the verbal conditions of the problem - solve the equation - check solution in the original wording of the p
A V
perpendicular line
undefined slope

41. What are two examples of composit functions?
f of g and g of f
(-infinity - 0]U[0 - +infinity)
odd
(-infinity - +infinity)

42. Which direction does f(x)=+c move in standard absolute value formula?
Y
Conditional
Every line has an equation that can be written in general form. Ax+By+C=0 where A -B & C are real numbers and A & B cannot be zero.
up

43. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
x is the hours to repair the boat. $1603-532=anwser/63 = x
perpendicular line
parabola - up one and right three

44. What type of line is an identity function?
inconsistant
45 degree angle
f(x2)-f(x1) / x2-x1
horizontal

45. what is the letter used to represent slope?
A line passing through two distinct points
45 degree angle
1 -2 -3
m

46. y^2+x=4 is this a function? Why?

47. What points do you use to plot the inverse on a graph?
Y
The opposite coordinates
f(x+h)-f(x)/h h cannot equal zero
2nd catalog (zero key -) abs(x) - graph

48. What does the absolute value function look like?
A V
f(x2)-f(x1) / x2-x1
f(x+c) and f(x-c)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

49. $50 -000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6 -000. What is x and what is the formula?
remove grouping symbols and combine like terms - variables on one side of = and numbers on the other - isolate the variables and solve and check anwser.
x = the original sale price and the formula is x - .40x =$276
Conditional
X is the first invesment at 15% and the next is the original $50K less the first investment at the second interest rate or 7% = $6 -000

50. What is the horizontal line formula?
undefined
parabola
(-infinity - +infinity)
Y=b