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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?
(-infinity - +infinity)
inconsitent
Set the x and y to zero and get the intercepts and then plot the points
odd

2. Standard absolute value - horizontal shift formulas for left and right
Approach neg toward x through zero and above positive close to x
f(x+c) and f(x-c)
odd
because the demintor of a quotient can never equal zero

3. what can never equal zero in the slope formula and why?
f(x)=+c and f(x)-c
Mirror image neg quadrant to that of the positive quandrant
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
x2-x1 because the demonaitor of a quotient can never equal zero

4. What is a constant function?
f(x^1)=f(x^2)
The single number y=
(-infinity - +infinity)
The minimum or maximum points

5. What type of line is an identity function?
odd
Cannot be drawn in quizlet
45 degree angle
Yes - all the domains points to one range

6. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
x2-x1 because the demonaitor of a quotient can never equal zero
because the demintor of a quotient can never equal zero

7. What is the formula for the square root function?
x math 3 graph
f(x)=suare root of x
odd
Y=x^2 - graph

8. What is the range of an identity function?
(-infinity - +infinity)
f(x)=+c and f(x)-c
f(x)=IxI
Y= then enter the number then press graph

9. Of the seven of algebra's common graph's how many are even?
Square Root
Absolute Value - Constant and Standard Quadratic
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.
zero slope

10. What type of line is a constant function?
[0 -+infinity)
f(x+c) and f(x-c)
horizontal
negative inverse

11. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
down
Absolute Value - Constant and Standard Quadratic
As equations
4 -6 -9

12. What is the formula for an absolute value function?
f(x)=IxI
f(x)=+c and f(x)-c
4 -6 -9
zero slope

13. What shape is the standard quadratic function?
down
parabola
C>1 - horizontal shrinking
(-infinity - +infinity)

14. What is the vertex?
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
The minimum or maximum points

15. Which direction does f(x-c) move
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
(-infinity - 0]U[0 - +infinity)
horizontal right

16. x=all real numbers is what type of an equation?
neither
identity
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

17. What are the four steps for finding the inverse of a function?
perpendicular line
negative inverse
Piecewise
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

18. What does the graph of the cube root function look like on the graph?
2nd key - x^2 - graph
Approach neg toward x through zero and above positive close to x
1 -2 -3
x = the original sale price and the formula is x - .40x =$276

19. what is a range?
Y=x^2 - graph
2nd catalog (zero key -) abs(x) - graph
Square Root
The second set of components of an ordered pair

20. What is a domain?
The first set of components of an ordered pair
(-infinity - +infinity)
f(x) = x
Y

21. What is the domain for the standard cubic function?
(-infinity - +infinity)
x^2
Any set of ordered pairs
odd

22. How do you calculate a constant function in your calculator?
(-infinity - 0]U[0 - +infinity)
Y= then enter the number then press graph
(-infinity - +infinity)
Equation of a line

23. What are the calculator instructions for a square root function?
45 degree angle
2nd key - x^2 - graph
f of g and g of f
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

24. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
f(x)=3 square root x
A V
horizontal right

25. What type of slope do horizontal lines have?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
same
Yes - all the domains points to one range
identity

26. When is the only time (-infinity - +infinity) is not the domain?
in a quotient
(-infinity - +infinity)
no because you cannot have one domain pointing at two y's or ranges
x2-x1 because the demonaitor of a quotient can never equal zero

27. What are the calculator instructions for a standard quadratic equation?
20+.05x=5+.10x x=minutes
x = the original sale price and the formula is x - .40x =$276
Y=x^2 - graph
Three odd - cube root - identity - standard cubic

28. f(x) = x^2+3x+5 - what type of formula is this?
Cannot be drawn in quizlet
function notation
Absolute Value - Constant and Standard Quadratic
Yes - all the domains points to one range

29. What is the vertical line formula?
parraelle line
(-infinity - +infinity)
x=a
same

30. What is the formula for an identity function?
2nd key - x^2 - graph
f(x)=suare root of x
f(x) = x
(-infinity - +infinity)

31. What are the calculator instructions for the cube root function?
Piecewise
Yes because two x's or domains can point to one y
math 4 x - graph
f(x)=IxI

32. What is slope?
A line passing through two distinct points
(-infinity - +infinity)
The secant line
Y

33. Which direction does f(x+c) move
f(x)=suare root of x
horizontal left
Y=x - identity function
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

34. Draw or discuss a constant function
even
x^2
0<c<1 - horizontal stretching
Cannot be drawn in quizlet

35. what is the formula for slope?
(-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
0<c<1 - horizontal stretching
Change in y / change in x = rise / run = y2-y1 / x2-x1

36. What does linear equation mean?
Equation of a line
(-infinity - 0]U[0 - +infinity)
inconsistant
C>1 - horizontal shrinking

37. What is the range of a square root function?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
[0 -+infinity)
(-infinity - +infinity)
f(x)=3 square root x

38. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
x = the original sale price and the formula is x - .40x =$276
C>1 - horizontal shrinking
f of g and g of f
even

39. 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?
Three odd - cube root - identity - standard cubic
x is the hours to repair the boat. $1603-532=anwser/63 = x
Conditional
20+.05x=5+.10x x=minutes

40. What is another way to write f(x)=x - what type of function is this?
horizontal right
Y=x - identity function
Cannot be drawn in quizlet
As many as you like

41. $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?
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
Cannot be drawn in quizlet
f(x)=3 square root x
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

42. Is a standard quadratic function even - odd or neither?
even
Absolute Value - Constant and Standard Quadratic
The opposite coordinates
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

43. What are the calculator instructions for the standard cubic function?
x math 3 graph
f(x)=3 square root x
(-infinity - +infinity)
x = the original sale price and the formula is x - .40x =$276

44. 4(x-7)=4x-28 is what type of an equation?
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
Mirror image neg quadrant to that of the positive quandrant
identity
inconsistant

45. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
down
Line ascending to the right gradually
even

46. What is the formula for to calculate the difference of a quotient function?
horizontal right
f(x+h)-f(x)/h h cannot equal zero
A V
identity

47. Is an identity function even - odd or neither?
Conditional
Line ascending to the right gradually
(-infinity - +infinity)
odd

48. Draw or discuss an increasing function
f(x)=IxI
Cannot be drawn in quizlet
even
(-infinity - +infinity)

49. What type of slope do you have when the line is horizontal and m=0?
Y=x^2 - graph
function notation
A V
zero slope

50. What is another way of writing the absolute value function?
Y=IxI
(-infinity - +infinity)
The minimum or maximum points
2nd catalog (zero key -) abs(x) - graph