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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. Draw or discuss a constant function
Y= then enter the number then press graph
Cannot be drawn in quizlet
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
Line ascending to the right gradually

2. What is another way of writing the absolute value function?
[0 -+infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
even
Y=IxI

3. What is the range for a standard quadratic function?
Yes - all the domains points to one range
(-infinity - 0]U[0 - +infinity)
m
x math 3 graph

4. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
f(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
no because you cannot have one domain pointing at two y's or ranges
Yes - all the domains points to one range

5. Standard absolute value - horizontal shift formulas for left and right
Y
identity
f(x+c) and f(x-c)
Mirror image neg quadrant to that of the positive quandrant

6. Which direction does f(x+c) move
The slope of a line containing two points
20+.05x=5+.10x x=minutes
horizontal left
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.

7. Is an absolute value function even - odd or neither?
even
[0 -+infinity)
horizontal right
When does a graph not define y as a function of x?

8. What direction does f(x)-c move in standard absolute value formula?
no because you cannot have one domain pointing at two y's or ranges
A V
down
odd

9. What points do you use to plot the inverse on a graph?
The opposite coordinates
Cannot be drawn in quizlet
even
f(x+c) and f(x-c)

10. What is the vertical line formula?
Equation of a line
The second set of components of an ordered pair
f(x)=x^3
x=a

11. What is the vertex?
The minimum or maximum points
A line passing through two distinct points
[0 -+infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

12. Which direction does f(x-c) move
no because you cannot have one domain pointing at two y's or ranges
C>1 - horizontal shrinking
m
horizontal right

13. What are the calculator instructions for a square root function?
even
zero slope
f(x)=suare root of x
2nd key - x^2 - graph

14. What type of slope do vertical lines have?
same
f(x+h)-f(x)/h h cannot equal zero
The secant line
undefined

15. f(x) = x^2+3x+5 - what type of formula is this?
f(x+h)-f(x)/h h cannot equal zero
identity
function notation
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.

16. What is the formula for an identity function?
f(x) = x
[0 -+infinity)
The secant line
x = the original sale price and the formula is x - .40x =$276

17. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
f(x)=IxI
x = the original sale price and the formula is x - .40x =$276
negative inverse
Y=IxI

18. how many ranges can you have for each domain?
only one
(-infinity - +infinity)
2nd key - x^2 - graph
identity

19. What is the slope intercept formula? Define all the variables.
x=a
f of g and g of f
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)

20. 4(x-7)=4x-28 is what type of an equation?
identity
Y=x^2 - graph
C>1 - horizontal shrinking
Cannot be drawn in quizlet

21. What can we substitute for f(x)?
(-infinity - +infinity)
Y
no because you cannot have one domain pointing at two y's or ranges
in a quotient

22. x=all real numbers is what type of an equation?
Y= then enter the number then press graph
identity
2nd key - x^2 - graph
The secant line

23. What is the range of the constant function?
Mirror image neg quadrant to that of the positive quandrant
(-infinity - 0]U[0 - +infinity)
The single number y=
up

24. Is the square root function odd - even or neither?
neither
parraelle line
undefined
Y=IxI

25. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
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
only one
(f+g) - (f-g) - (fg) - (f/g) all of x

26. What does linear equation mean?
x2-x1 because the demonaitor of a quotient can never equal zero
Equation of a line
Y=x - identity function
45 degree angle

27. What is the range for an absolute value function?
only one
(-infinity - 0]U[0 - +infinity)
The slope of a line containing two points
Y=IxI

28. $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?
0<c<1 - horizontal stretching
Any set of ordered pairs
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
negative slope

29. What is a relation?
Any set of ordered pairs
x^2
even
undefined

30. what is the letter used to represent slope?
m
Line ascending to the right gradually
When does a graph not define y as a function of x?
because the demintor of a quotient can never equal zero

31. What does the average rate of change formula solve?
identity
f(x2)-f(x1) / x2-x1
Y=x - identity function
The slope of a line containing two points

32. What is another way to write f(x)=x - what type of function is this?
negative inverse
Y=x - identity function
f(x)=x^3
Conditional

33. What is the domain for the standard cubic function?
(-infinity - +infinity)
f of g and g of f
Cannot be drawn in quizlet
math 4 x - graph

34. What type of line is a constant function?
Y
(-infinity - +infinity)
f(x^1)=f(x^2)
horizontal

35. What are the algebra of functions?
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
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
(f+g) - (f-g) - (fg) - (f/g) all of x

36. What is the domain of an identity function?
f(x+c) and f(x-c)
(-infinity - +infinity)
postiive slope
undefined

37. What is a domain?
odd
The slope of a line containing two points
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
The first set of components of an ordered pair

38. What is the range of a square root function?
When does a graph not define y as a function of x?
(-infinity - 0]U[0 - +infinity)
[0 -+infinity)
f(x+h)-f(x)/h h cannot equal zero

39. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
function notation
The opposite coordinates
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.

40. What type of line is an identity function?
down
45 degree angle
(-infinity - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

41. When is the only time (-infinity - +infinity) is not the domain?
parraelle line
Square Root
in a quotient
parabola - up one and right three

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

43. Of the seven of algebra's common graph's how many are odd?
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
(-infinity - +infinity)
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic

44. How would this formula move f(x)=(x+1)^2-3
1 -2 -3
parabola - up one and right three
Absolute Value - Constant and Standard Quadratic
The second set of components of an ordered pair

45. What are the four steps for finding the inverse of a function?
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The first set of components of an ordered pair
f(x)=x^3

46. Is a constant function even - odd or neither?
even
function notation
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
identity

47. 4x+5x=8x is what type of an equation?
As many as you like
math 4 x - graph
Equation of a line
Conditional

48. y=f(cx) what does this formula represent?
x is the hours to repair the boat. $1603-532=anwser/63 = x
0<c<1 - horizontal stretching
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)

49. What type of slope do you have when a line falls left to right and m<0?
up
negative slope
x = the original sale price and the formula is x - .40x =$276
x=a

50. What is the horizontal line formula?
Mirror image neg quadrant to that of the positive quandrant
Y=b
inconsistant
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph