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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. 4x+5x=8x is what type of an equation?
same
even
Conditional
zero slope

2. What does the average rate of change formula solve?
The slope of a line containing two points
f(x)=3 square root x
(-infinity - +infinity)
(-infinity - +infinity)

3. Is an absolute value function even - odd or neither?
down
inconsistant
x = the original sale price and the formula is x - .40x =$276
even

4. y=f(cx) - what does this formula represent?
Any set of ordered pairs
[0 -+infinity)
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.
C>1 - horizontal shrinking

5. What are the calculator instructions for the standard cubic function?
x math 3 graph
2nd catalog (zero key -) abs(x) - graph
f(x)=+c and f(x)-c
[0 -+infinity)

6. In an identity function if f(10)=x than what is y?
x2-x1 because the demonaitor of a quotient can never equal zero
Y=10
Y= then enter the number then press graph
f(x^1)=f(x^2)

7. A flat line underlining one vertical line is a symbol for
Piecewise
Approach neg toward x through zero and above positive close to x
perpendicular line
(-infinity - +infinity)

8. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
When does a graph not define y as a function of x?
C(t) = 20+(.40(t-60) if you have a base of $20 for a plan and .40 cents above every minute you spend over one hour you have to first know how many minutes you went over one hour - then multuply by .40 cents for the additional minutes and add the base
odd
horizontal

9. What can we substitute for f(x)?
x=a
Y
postiive slope
m

10. 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
f(x)=x^3
identity
same

11. Is a constant function even - odd or neither?
x2-x1 because the demonaitor of a quotient can never equal zero
even
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The second set of components of an ordered pair

12. What type of line is an identity function?
horizontal
f(x)=x^3
45 degree angle
(-infinity - +infinity)

13. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
horizontal
Cannot be drawn in quizlet
Yes - all the domains points to one range
(-infinity - +infinity)

14. What direction does f(x)-c move in standard absolute value formula?
A V
down
only one
The minimum or maximum points

15. What is the range of a square root function?
[0 -+infinity)
f(x2)-f(x1) / x2-x1
(f+g) - (f-g) - (fg) - (f/g) all of x
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

16. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x)=x^3
undefined

17. Two vertical lines side by side are a symbol for what
Cannot be drawn in quizlet
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
parraelle line
As equations

18. x=all real numbers is what type of an equation?
Yes because two x's or domains can point to one y
1 -2 -3
identity
x2-x1 because the demonaitor of a quotient can never equal zero

19. Draw or discuss an increasing function
Cannot be drawn in quizlet
Y
The minimum or maximum points
parabola

20. What is a domain?
4 -6 -9
The first set of components of an ordered pair
identity
Any set of ordered pairs

21. Draw or discuss a constant function
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - 0]U[0 - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
Cannot be drawn in quizlet

22. What is a relation?
Any set of ordered pairs
math 4 x - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=IxI

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

24. What is the point slope formula and when do you use it?
(-infinity - +infinity)
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
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
A line passing through two distinct points

25. What is the formula for an absolute value function?
because the demintor of a quotient can never equal zero
down
(-infinity - +infinity)
f(x)=IxI

26. What are the calculator instructions for a standard quadratic equation?
horizontal
1 -2 -3
Y=x^2 - graph
x2-x1 because the demonaitor of a quotient can never equal zero

27. What type of slope do horizontal lines have?
same
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
identity

28. How do you calculate a constant function in your calculator?
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
Y= then enter the number then press graph
(-infinity - +infinity)
Cannot be drawn in quizlet

29. What is the formula for the standard cubic function?
Equation of a line
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
f(x)=x^3
horizontal left

30. What does the absolute value function look like?
Conditional
A V
(-infinity - +infinity)
even

31. What is the formula for an identity function?
f(x) = x
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)

32. Draw or discuss a decreasing function
Cannot be drawn in quizlet
horizontal
Conditional
up

33. What is the vertical line 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=a
(-infinity - +infinity)
The second set of components of an ordered pair

34. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Y=b
0<c<1 - horizontal stretching
odd

35. what is a range?
f(x)=x^3
The second set of components of an ordered pair
(f+g) - (f-g) - (fg) - (f/g) all of x
C(t) = 20+(.40(t-60) if you have a base of $20 for a plan and .40 cents above every minute you spend over one hour you have to first know how many minutes you went over one hour - then multuply by .40 cents for the additional minutes and add the base

36. How do you graph Ax+By+C=0?
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points
As many as you like
neither

37. Standard absolute value - vertical shift formulas for positve and negative
f(x+c) and f(x-c)
(-infinity - +infinity)
f(x)=+c and f(x)-c
in a quotient

38. What is the range of an identity function?
(-infinity - +infinity)
The secant line
Y
A V

39. how many domains can you have pointing to one range?
As many as you like
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.
f(x2)-f(x1) / x2-x1
same

40. what can never equal zero in the slope formula and why?
As equations
x2-x1 because the demonaitor of a quotient can never equal zero
Approach neg toward x through zero and above positive close to x
45 degree angle

41. x= a real number is what type of equation?
Conditional
Cannot be drawn in quizlet
Square Root
C(t) = 20+(.40(t-60) if you have a base of $20 for a plan and .40 cents above every minute you spend over one hour you have to first know how many minutes you went over one hour - then multuply by .40 cents for the additional minutes and add the base

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

43. Of the seven of algebra's common graph's how many are even?
parabola
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y=b
Absolute Value - Constant and Standard Quadratic

44. 4(x-7)=4x+28 is what type of an equation?
Absolute Value - Constant and Standard Quadratic
inconsitent
A line passing through two distinct points
(-infinity - +infinity)

45. What are the algebra of functions?
As equations
45 degree angle
[0 -+infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x

46. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
Cannot be drawn in quizlet
20+.05x=5+.10x x=minutes
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The second set of components of an ordered pair

47. What are the four steps for finding the inverse of a function?
The first set of components of an ordered pair
Y= then enter the number then press graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
A line passing through two distinct points

48. Standard absolute value - horizontal shift formulas for left and right
The single number y=
no because you cannot have one domain pointing at two y's or ranges
f(x+c) and f(x-c)
The secant line

49. Which direction does f(x)=+c move in standard absolute value formula?
The second set of components of an ordered pair
45 degree angle
up
parabola

50. What type of slope do you have when the line is horizontal and m=0?
1 -2 -3
identity
inconsitent
zero slope