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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. What is the domain of an identity function?
x^2
f(x)=3 square root x
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x

2. Is an identity function even - odd or neither?
odd
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
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph

3. y=f(cx) what does this formula represent?
Conditional
Mirror image neg quadrant to that of the positive quandrant
0<c<1 - horizontal stretching
only one

4. what can never equal zero in the slope formula and why?
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
x2-x1 because the demonaitor of a quotient can never equal zero
Any set of ordered pairs

5. What is the average rate of change formula?
f(x2)-f(x1) / x2-x1
horizontal right
Cannot be drawn in quizlet
f(x) = x

6. What is the domain for a standard quadratic function?
Y=b
45 degree angle
parabola
(-infinity - +infinity)

7. What direction does f(x)-c move in standard absolute value formula?
down
because the demintor 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
negative slope

8. What is the formula for the square root function?
f(x)=suare root of x
postiive slope
f(x)=3 square root x
(-infinity - +infinity)

9. What does the square root function look like on a graph?
A line passing through two distinct points
When does a graph not define y as a function of x?
Line ascending to the right gradually
Y=10

10. What is the range for the standard cubic function?
(-infinity - +infinity)
1 -2 -3
f(x) = x
As equations

11. What is the formula for an identity function?
f(x)=3 square root x
[0 -+infinity)
f(x) = x
odd

12. What is the line called that illustrates the straight line between the two points when showing average rate of change?
f(x) = x
(-infinity - +infinity)
The secant line
postiive slope

13. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
x = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic

14. What are the steps for solving a word problem?
no because you cannot have one domain pointing at two y's or ranges
identity
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
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

15. What type of slope do you have when a line rises from left to right and m>0?
odd
20+.05x=5+.10x x=minutes
function notation
postiive slope

16. Which direction does f(x+c) move
(f+g) - (f-g) - (fg) - (f/g) all of x
Line ascending to the right gradually
because the demintor of a quotient can never equal zero
horizontal left

17. What does linear equation mean?
horizontal left
Equation of a line
because the demintor of a quotient can never equal zero
neither

18. f(x) = x^2+3x+5 - what type of formula is this?
function notation
odd
x=a
Y=IxI

19. What is the vertical line test?
x = the original sale price and the formula is x - .40x =$276
When does a graph not define y as a function of x?
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points

20. How are functions normally written?
Y=b
A line passing through two distinct points
As equations
m

21. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - +infinity)
in a quotient
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
only one

22. $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?
(-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
The single number y=
negative slope

23. What are the calculator instructions for absolute value?
Y=x^2 - graph
x^2
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
2nd catalog (zero key -) abs(x) - graph

24. What points do you use to plot the inverse on a graph?
parabola
2nd key - x^2 - graph
[0 -+infinity)
The opposite coordinates

25. What are the four steps for solving a linear equation?
Y=10
inconsistant
The single number y=
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.

26. What are the algebra of functions?
undefined slope
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +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.

27. Is a standard quadratic function even - odd or neither?
Cannot be drawn in quizlet
Y=x - identity function
even
f(x) = x

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

29. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
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
Y=x^2 - graph

30. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
odd
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y= then enter the number then press graph

31. What is the range for a standard quadratic function?
As many as you like
Y=IxI
horizontal
(-infinity - 0]U[0 - +infinity)

32. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
even
f(x+c) and f(x-c)
x=a

33. A flat line underlining one vertical line is a symbol for
perpendicular line
x is the hours to repair the boat. $1603-532=anwser/63 = x
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The minimum or maximum points

34. What are the calculator instructions for a standard quadratic equation?
45 degree angle
x=a
f(x)=x^3
Y=x^2 - graph

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

36. What is the domain and range of a constant function?
even
f(x2)-f(x1) / x2-x1
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.
(-infinity - +infinity)

37. What is the range of a square root function?
As many as you like
0<c<1 - horizontal stretching
[0 -+infinity)
even

38. 4(x-7)=4x+28 is what type of an equation?
Set the x and y to zero and get the intercepts and then plot the points
no because you cannot have one domain pointing at two y's or ranges
parabola
inconsitent

39. What is the range for an absolute value function?
(-infinity - 0]U[0 - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The opposite coordinates
negative slope

40. What type of slope do vertical lines have?
(-infinity - +infinity)
undefined
m
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

41. What is a domain?
undefined
even
2nd key - x^2 - graph
The first set of components of an ordered pair

42. x=all real numbers is what type of an equation?
identity
(-infinity - +infinity)
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(x)=+c and f(x)-c

43. Which direction does f(x)=+c move in standard absolute value formula?
Y=b
Square Root
up
(-infinity - +infinity)

44. What is the domain of a square root function?
[0 -+infinity)
f of g and g of f
(-infinity - +infinity)
perpendicular line

45. What is a constant function?
(-infinity - +infinity)
Piecewise
f(x^1)=f(x^2)
x is the hours to repair the boat. $1603-532=anwser/63 = x

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

47. Of the seven of algebra's common graph's how many are even?
Y=IxI
Absolute Value - Constant and Standard Quadratic
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

48. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and what is x?
x is the hours to repair the boat. $1603-532=anwser/63 = x
negative inverse
45 degree angle
(-infinity - +infinity)

49. What is the domain for the standard cubic function?
(-infinity - +infinity)
1 -2 -3
Change in y / change in x = rise / run = y2-y1 / x2-x1
only one

50. Draw or discuss an increasing function
Change in y / change in x = rise / run = y2-y1 / x2-x1
Cannot be drawn in quizlet
identity
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