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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 for an absolute value function?
even
(-infinity - +infinity)
4 -6 -9
1 -2 -3

2. How do you graph Ax+By+C=0?
inconsitent
Set the x and y to zero and get the intercepts and then plot the points
negative slope
odd

3. What type of line is a constant function?
x = the original sale price and the formula is x - .40x =$276
horizontal
horizontal left
The opposite coordinates

4. What does linear equation mean?
f(x)=suare root of x
Absolute Value - Constant and Standard Quadratic
perpendicular line
Equation of a line

5. how many domains can you have pointing to one range?
As many as you like
When does a graph not define y as a function of x?
The secant line
Approach neg toward x through zero and above positive close to x

6. What is the domain of a square root function?
[0 -+infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Any set of ordered pairs
x=a

7. What is the vertex?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
negative slope
inconsistant
The minimum or maximum points

8. What is the domain of an identity function?
(-infinity - 0]U[0 - +infinity)
down
f(x)=+c and f(x)-c
(-infinity - +infinity)

9. What does the square root function look like on a graph?
1 -2 -3
even
identity
Line ascending to the right gradually

10. x=no real numbers 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
inconsistant
(-infinity - 0]U[0 - +infinity)
Y=x - identity function

11. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Any set of ordered pairs
inconsistant
Y=10

12. What type of line is a constant function?
postiive slope
up
horizontal
0<c<1 - horizontal stretching

13. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
2nd catalog (zero key -) abs(x) - graph
even
Yes - all the domains points to one range
When does a graph not define y as a function of x?

14. What does the absolute value function look like?
function notation
A V
f(x2)-f(x1) / x2-x1
20+.05x=5+.10x x=minutes

15. How do you calculate a constant function in your calculator?
4 -6 -9
Y= then enter the number then press graph
identity
x = the original sale price and the formula is x - .40x =$276

16. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
Y=b
45 degree angle
The second set of components of an ordered pair

17. f(x) = x^2+3x+5 - what type of formula is this?
negative slope
function notation
f(x) = x
Y=x^2 - graph

18. What is a constant function?
postiive slope
f(x^1)=f(x^2)
undefined
f(x)=3 square root x

19. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
even
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Piecewise

20. What direction does f(x)-c move in standard absolute value formula?
down
Three odd - cube root - identity - standard cubic
parabola - up one and right three
Mirror image neg quadrant to that of the positive quandrant

21. 4x+5x=8x 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
(-infinity - +infinity)
Conditional
Y=x^2 - graph

22. What is an identity function?
f(x+c) and f(x-c)
Line ascending to the right gradually
x=a
45 degree angle

23. Of the seven of algebra's common graph's how many are neither?
even
f(x^1)=f(x^2)
Square Root
odd

24. What does the graph of the cube root function look like on the graph?
f(x+h)-f(x)/h h cannot equal zero
horizontal right
Approach neg toward x through zero and above positive close to x
Square Root

25. Which direction does f(x+c) move
horizontal left
45 degree angle
horizontal
x is the hours to repair the boat. $1603-532=anwser/63 = x

26. What is a function?
horizontal
down
[0 -+infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

27. What is the point slope formula and when do you use it?
no because you cannot have one domain pointing at two y's or ranges
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(f+g) - (f-g) - (fg) - (f/g) all of x
identity

28. Which direction does f(x-c) move
parraelle line
horizontal right
Cannot be drawn in quizlet
As equations

29. y=f(cx) what does this formula represent?
(-infinity - 0]U[0 - +infinity)
f(x)=3 square root x
Yes - all the domains points to one range
0<c<1 - horizontal stretching

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

31. x=all real numbers is what type of an equation?
horizontal
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.
x is the hours to repair the boat. $1603-532=anwser/63 = x
identity

32. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
horizontal right
parabola
The first set of components of an ordered pair

33. What is the domain and range of a constant function?
Equation of a line
A line passing through two distinct points
(-infinity - +infinity)
Y=x^2 - graph

34. Is a standard quadratic function even - odd or neither?
Piecewise
(f+g) - (f-g) - (fg) - (f/g) all of x
A line passing through two distinct points
even

35. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
horizontal
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.
Cannot be drawn in quizlet

36. How are functions normally written?
undefined slope
no because you cannot have one domain pointing at two y's or ranges
When does a graph not define y as a function of x?
As equations

37. what is the letter used to represent slope?
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
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
math 4 x - graph

38. What is a relation?
inconsistant
Cannot be drawn in quizlet
Any set of ordered pairs
negative slope

39. 4(x-7)=4x+28 is what type of an equation?
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.
The first set of components of an ordered pair
inconsitent
function notation

40. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Cannot be drawn in quizlet
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
4 -6 -9
Any set of ordered pairs

41. When is the only time (-infinity - +infinity) is not the domain?
horizontal right
f(x)=suare root of x
in a quotient
Yes because two x's or domains can point to one y

42. Draw or discuss a decreasing function
horizontal
f(x)=x^3
Cannot be drawn in quizlet
Three odd - cube root - identity - standard cubic

43. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
The opposite coordinates
(-infinity - +infinity)
f(x+h)-f(x)/h h cannot equal zero

44. Is a constant function even - odd or neither?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
negative slope
Y=b
even

45. What is the formula for an identity function?
f(x) = x
parabola
even
Equation of a line

46. What are the four steps for finding the inverse of a function?
The minimum or maximum points
The opposite coordinates
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
f(x)=IxI

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

48. What is the formula for the standard cubic function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x)=x^3
Cannot be drawn in quizlet

49. Why can h not equal zero in the difference of a quotient function formula?
math 4 x - graph
because the demintor of a quotient can never equal zero
Conditional
Three odd - cube root - identity - standard cubic

50. What type of slope do vertical lines have?
Conditional
undefined
Conditional
x math 3 graph