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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 does the square root function look like on a graph?
Line ascending to the right gradually
f of g and g of f
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
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

2. What is the vertex?
The single number y=
Any set of ordered pairs
The minimum or maximum points
When does a graph not define y as a function of x?

3. 4x+5x=8x is what type of an equation?
odd
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
The second set of components of an ordered pair

4. What are the algebra of functions?
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
no because you cannot have one domain pointing at two y's or ranges
even

5. What are the four steps for solving a linear equation?
same
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.
(-infinity - +infinity)
(-infinity - +infinity)

6. What is the formula in both horizontal stretching and horizontal shrinking?
horizontal left
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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.
identity

7. What is another way of writing the absolute value function?
45 degree angle
Y=IxI
undefined slope
in a quotient

8. What direction does f(x)-c move in standard absolute value formula?
even
neither
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
down

9. How do you calculate a constant function in your calculator?
x=a
negative inverse
Y= then enter the number then press graph
f(x)=suare root of x

10. what can never equal zero in the slope formula and why?
45 degree angle
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y= then enter the number then press graph
x2-x1 because the demonaitor of a quotient can never equal zero

11. What does linear equation mean?
Any set of ordered pairs
(-infinity - 0]U[0 - +infinity)
f(x+h)-f(x)/h h cannot equal zero
Equation of a line

12. What does the absolute value function look like?
x = the original sale price and the formula is x - .40x =$276
same
A V
negative inverse

13. Two vertical lines side by side are a symbol for what
(-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
parraelle line
only one

14. What are the calculator instructions for a square root function?
Cannot be drawn in quizlet
2nd key - x^2 - graph
undefined 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.

15. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Absolute Value - Constant and Standard Quadratic
Conditional
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

16. How would this formula move f(x)=(x+1)^2-3
undefined slope
Conditional
parabola - up one and right three
down

17. What is the standard quadratic function?
Y= then enter the number then press graph
f(x)=+c and f(x)-c
x^2
(-infinity - +infinity)

18. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
x = the original sale price and the formula is x - .40x =$276
As many as you like

19. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
even
4 -6 -9
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f(x+h)-f(x)/h h cannot equal zero

20. x=no real numbers is what type of an equation?
horizontal left
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
inconsistant
The single number y=

21. how many domains can you have pointing to one range?
Y=IxI
2nd catalog (zero key -) abs(x) - graph
up
As many as you like

22. What is the domain of the cube root function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
As many as you like
[0 -+infinity)
(-infinity - +infinity)

23. What is the domain of a square root function?
[0 -+infinity)
Conditional
(-infinity - +infinity)
x=a

24. Is the square root function odd - even or neither?
neither
f(x)=+c and f(x)-c
zero slope
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

25. What is the range of the constant function?
perpendicular line
horizontal
(-infinity - +infinity)
The single number y=

26. Is a constant function even - odd or neither?
even
f(x+h)-f(x)/h h cannot equal zero
(-infinity - 0]U[0 - +infinity)
horizontal

27. What is a constant function?
x2-x1 because the demonaitor of a quotient can never equal zero
Y= then enter the number then press graph
45 degree angle
f(x^1)=f(x^2)

28. 4(x-7)=4x+28 is what type of an equation?
f(x2)-f(x1) / x2-x1
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
inconsitent
undefined

29. f(x) = x^2+3x+5 - what type of formula is this?
(-infinity - +infinity)
function notation
The first set of components of an ordered pair
C>1 - horizontal shrinking

30. What type of line is a constant function?
horizontal
Mirror image neg quadrant to that of the positive quandrant
because the demintor of a quotient can never equal zero
m

31. how many ranges can you have for each domain?
Yes - all the domains points to one range
f(x)=3 square root x
only one
horizontal left

32. Which direction does f(x-c) move
x is the hours to repair the boat. $1603-532=anwser/63 = x
horizontal right
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - 0]U[0 - +infinity)

33. Is the standard cubic function odd - even or neither?
(-infinity - 0]U[0 - +infinity)
Yes - all the domains points to one range
odd
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

34. what is the letter used to represent slope?
m
neither
undefined
inconsistant

35. Draw or discuss a decreasing function
x is the hours to repair the boat. $1603-532=anwser/63 = x
Y
(-infinity - 0]U[0 - +infinity)
Cannot be drawn in quizlet

36. What are the steps for solving a word problem?
undefined 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
same
Y=x - identity function

37. What are two examples of composit functions?
f of g and g of f
1 -2 -3
C>1 - horizontal shrinking
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

38. What is the domain for a standard quadratic function?
(-infinity - +infinity)
inconsitent
45 degree angle
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

39. What type of slope do horizontal lines have?
A line passing through two distinct points
neither
even
same

40. What shape is the standard quadratic function?
x = the original sale price and the formula is x - .40x =$276
parabola
Any set of ordered pairs
[0 -+infinity)

41. What is the domain for an absolute value function?
The slope of a line containing two points
only one
x math 3 graph
(-infinity - +infinity)

42. x=all real numbers is what type of an equation?
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
Y= then enter the number then press graph
When does a graph not define y as a function of x?

43. Is a standard quadratic function even - odd or neither?
f(x)=suare root of x
Set the x and y to zero and get the intercepts and then plot the points
even
f(x) = x

44. What type of slope do vertical lines have?
up
(f+g) - (f-g) - (fg) - (f/g) all of x
undefined
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.

45. Is an absolute value function even - odd or neither?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
even
odd
zero slope

46. What equation does every line have? Discuss the variables.
4 -6 -9
2nd key - x^2 - graph
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.
Y=x - identity function

47. What type of slope do you have when a line rises from left to right and m>0?
postiive slope
Line ascending to the right gradually
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
As equations

48. What is the formula for an absolute value function?
Square Root
(-infinity - +infinity)
x^2
f(x)=IxI

49. What is the horizontal line formula?
Equation of a line
Y=b
45 degree angle
Y=IxI

50. What does the average rate of change formula solve?
odd
45 degree angle
The slope of a line containing two points
The first set of components of an ordered pair