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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 slope of a perpendicular line?
negative inverse
postiive slope
Equation of a line
f(x2)-f(x1) / x2-x1

2. How do you calculate a constant function in your calculator?
horizontal
because the demintor of a quotient can never equal zero
Y= then enter the number then press graph
x=a

3. What type of slope do you have when a line falls left to right and m<0?
Approach neg toward x through zero and above positive close to x
(-infinity - 0]U[0 - +infinity)
x = the original sale price and the formula is x - .40x =$276
negative slope

4. What is the formula for the cube root function?
f(x)=3 square root x
x=a
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
only one

5. What is a domain?
parabola
The first set of components of an ordered pair
Cannot be drawn in quizlet
When does a graph not define y as a function of x?

6. Is the square root function odd - even or neither?
x^2
Y= then enter the number then press graph
neither
Y=10

7. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
horizontal
1 -2 -3
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.
f(x)=3 square root x

8. What are the algebra of functions?
As equations
perpendicular line
(f+g) - (f-g) - (fg) - (f/g) all of x
up

9. Standard absolute value - vertical shift formulas for positve and negative
f(x2)-f(x1) / x2-x1
20+.05x=5+.10x x=minutes
horizontal right
f(x)=+c and f(x)-c

10. What is the formula for an identity function?
f(x) = x
f(x+h)-f(x)/h h cannot equal zero
postiive slope
(-infinity - +infinity)

11. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
4 -6 -9
Y=x - identity function

12. How do you graph Ax+By+C=0?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
As many as you like
Set the x and y to zero and get the intercepts and then plot the points

13. What is the range for the standard cubic function?
[0 -+infinity)
(-infinity - +infinity)
Square Root
The second set of components of an ordered pair

14. What is the formula in both horizontal stretching and horizontal shrinking?
45 degree angle
Y=x - identity function
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
up

15. What is the range of an identity function?
inconsistant
odd
45 degree angle
(-infinity - +infinity)

16. Is an identity function even - odd or neither?
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
odd
parabola - up one and right three
Y

17. f(x) = x^2+3x+5 - what type of formula is this?
function notation
Equation of a line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
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.

18. What is the slope intercept formula? Define all the variables.
Y= then enter the number then press graph
even
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
in a quotient

19. What type of slope do horizontal lines have?
down
same
f(x2)-f(x1) / x2-x1
4 -6 -9

20. What does the average rate of change formula solve?
2nd key - x^2 - graph
in a quotient
The slope of a line containing two points
45 degree angle

21. 4(x-7)=4x-28 is what type of an equation?
identity
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
Cannot be drawn in quizlet

22. What does the square root function look like on a graph?
Y= then enter the number then press graph
even
Line ascending to the right gradually
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

23. What are the four steps for finding the inverse of a function?
When does a graph not define y as a function of x?
parraelle line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
parabola

24. Is the standard cubic function odd - even or neither?
horizontal
odd
undefined slope
Square Root

25. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
same
Cannot be drawn in quizlet
(-infinity - +infinity)

26. What is the line called that illustrates the straight line between the two points when showing average rate of change?
x=a
math 4 x - graph
The secant line
odd

27. 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?
no because you cannot have one domain pointing at two y's or ranges
only one
(-infinity - 0]U[0 - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x

28. what is the letter used to represent slope?
m
x is the hours to repair the boat. $1603-532=anwser/63 = x
undefined
(-infinity - +infinity)

29. What is the average rate of change formula?
down
45 degree angle
negative slope
f(x2)-f(x1) / x2-x1

30. Draw or discuss a decreasing function
The slope of a line containing two points
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Cannot be drawn in quizlet
Conditional

31. Draw or discuss an increasing function
(-infinity - +infinity)
parabola - up one and right three
Conditional
Cannot be drawn in quizlet

32. y=f(cx) - what does this formula represent?
The single number y=
C>1 - horizontal shrinking
Y= then enter the number then press graph
Change in y / change in x = rise / run = y2-y1 / x2-x1

33. What is the domain for an absolute value function?
up
horizontal right
(-infinity - +infinity)
parabola - up one and right three

34. What are the calculator instructions for a standard quadratic equation?
f(x+c) and f(x-c)
f(x^1)=f(x^2)
m
Y=x^2 - graph

35. What is the domain of the cube root function?
(-infinity - +infinity)
negative slope
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)=+c and f(x)-c

36. Which direction does f(x)=+c move in standard absolute value formula?
Yes - all the domains points to one range
odd
0<c<1 - horizontal stretching
up

37. What type of line is a constant function?
horizontal
The first set of components of an ordered pair
f(x^1)=f(x^2)
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.

38. Draw or discuss a constant function
Cannot be drawn in quizlet
x = the original sale price and the formula is x - .40x =$276
undefined slope
same

39. A flat line underlining one vertical line is a symbol for
perpendicular line
f(x) = x
horizontal right
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

40. Is an absolute value function even - odd or neither?
f(x+h)-f(x)/h h cannot equal zero
Piecewise
even
The single number y=

41. how many ranges can you have for each domain?
2nd key - x^2 - graph
only one
undefined
even

42. what is the formula for slope?
negative slope
Change in y / change in x = rise / run = y2-y1 / x2-x1
The slope of a line containing two points
even

43. What is the range for a standard quadratic function?
x is the hours to repair the boat. $1603-532=anwser/63 = x
Cannot be drawn in quizlet
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)

44. how many domains can you have pointing to one range?
The slope of a line containing two points
As many as you like
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x

45. What is the range of the constant function?
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
The single number y=
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
2nd catalog (zero key -) abs(x) - graph

46. What is the vertical line test?
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - 0]U[0 - +infinity)
When does a graph not define y as a function of x?
20+.05x=5+.10x x=minutes

47. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
in a quotient
x math 3 graph
horizontal

48. What does linear equation mean?
Equation of a line
perpendicular line
As equations
2nd key - x^2 - graph

49. What is the formula for the standard cubic function?
The secant line
45 degree angle
because the demintor of a quotient can never equal zero
f(x)=x^3

50. What are the calculator instructions for the cube root function?
The minimum or maximum points
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.
math 4 x - graph
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.