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Test your basic knowledge |
CLEP College Algebra: Functions
Start Test
Study First
Subjects
:
clep
,
math
,
algebra
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 can we substitute for f(x)?
Y
x=a
negative slope
function notation
2. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Y=b
Yes - all the domains points to one range
2nd key - x^2 - graph
(-infinity - +infinity)
3. What is the domain for an absolute value function?
(-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.
Y=x^2 - graph
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
4. how many domains can you have pointing to one range?
f(x^1)=f(x^2)
x2-x1 because the demonaitor of a quotient can never equal zero
As many as you like
perpendicular line
5. What type of slope do you have when the line is horizontal and m=0?
(-infinity - +infinity)
horizontal
zero slope
45 degree angle
6. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
math 4 x - graph
parabola
Line ascending to the right gradually
7. Standard absolute value - vertical shift formulas for positve and negative
(-infinity - +infinity)
f(x)=+c and f(x)-c
horizontal
even
8. What equation does every line have? Discuss the variables.
The opposite coordinates
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.
function notation
The slope of a line containing two points
9. What is the domain and range of a constant function?
no because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
because the demintor of a quotient can never equal zero
up
10. x=all real numbers is what type of an equation?
Conditional
Conditional
Absolute Value - Constant and Standard Quadratic
identity
11. y=f(cx) what does this formula represent?
only one
0<c<1 - horizontal stretching
The secant line
math 4 x - graph
12. When is the only time (-infinity - +infinity) is not the domain?
undefined slope
in a quotient
Mirror image neg quadrant to that of the positive quandrant
function notation
13. What type of slope do you have when a line falls left to right and m<0?
even
negative slope
(-infinity - +infinity)
f(x^1)=f(x^2)
14. What is the range of an identity function?
2nd key - x^2 - graph
m
Piecewise
(-infinity - +infinity)
15. 4(x-7)=4x+28 is what type of an equation?
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
parabola - up one and right three
inconsitent
16. Which direction does f(x+c) move
Piecewise
even
(-infinity - 0]U[0 - +infinity)
horizontal left
17. What is the vertical line formula?
Any set of ordered pairs
x=a
zero slope
(-infinity - +infinity)
18. What is the range for an absolute value function?
even
f(x2)-f(x1) / x2-x1
(-infinity - 0]U[0 - +infinity)
in a quotient
19. What is slope?
45 degree angle
A line passing through two distinct points
Mirror image neg quadrant to that of the positive quandrant
20+.05x=5+.10x x=minutes
20. What is the domain of the cube root function?
(-infinity - +infinity)
[0 -+infinity)
math 4 x - graph
Yes because two x's or domains can point to one y
21. Is a standard quadratic function even - odd or neither?
function notation
even
Y=IxI
f(x) = x
22. What does the standard cubic function look like on a graph?
Conditional
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
Mirror image neg quadrant to that of the positive quandrant
undefined
23. What is the range of a square root function?
45 degree angle
(-infinity - +infinity)
[0 -+infinity)
x^2
24. How do you calculate a constant function in your calculator?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y= then enter the number then press graph
inconsistant
2nd catalog (zero key -) abs(x) - graph
25. What is the formula for to calculate the difference of a quotient function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x+h)-f(x)/h h cannot equal zero
Absolute Value - Constant and Standard Quadratic
odd
26. What is the slope intercept formula? Define all the variables.
horizontal
perpendicular line
Y=x^2 - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
27. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Line ascending to the right gradually
20+.05x=5+.10x x=minutes
Conditional
4 -6 -9
28. 4(x-7)=4x-28 is what type of an equation?
Cannot be drawn in quizlet
Yes because two x's or domains can point to one y
identity
Set the x and y to zero and get the intercepts and then plot the points
29. Draw or discuss a constant function
inconsistant
f(x^1)=f(x^2)
Cannot be drawn in quizlet
parabola - up one and right three
30. 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
The first set of components of an ordered pair
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.
x=a
31. How are functions normally written?
The first set of components of an ordered pair
As equations
As many as you like
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
32. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
Y
The first set of components of an ordered pair
x = the original sale price and the formula is x - .40x =$276
A line passing through two distinct points
33. What are the calculator instructions for the standard cubic function?
x math 3 graph
negative inverse
(-infinity - +infinity)
f(x)=IxI
34. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Cannot be drawn in quizlet
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Approach neg toward x through zero and above positive close to x
A line passing through two distinct points
35. What type of slope do horizontal lines have?
same
Absolute Value - Constant and Standard Quadratic
When does a graph not define y as a function of x?
parraelle line
36. What are the four steps for solving a linear equation?
no because you cannot have one domain pointing at two y's or ranges
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.
2nd catalog (zero key -) abs(x) - graph
The slope of a line containing two points
37. What are the calculator instructions for a square root function?
f(x)=suare root of x
2nd key - x^2 - graph
45 degree angle
Conditional
38. What is the range for a standard quadratic function?
The slope of a line containing two points
(-infinity - +infinity)
inconsitent
(-infinity - 0]U[0 - +infinity)
39. What is the range of the cube root function?
(-infinity - +infinity)
x^2
f(x)=IxI
in a quotient
40. What type of line is a constant function?
Equation of a line
Square Root
horizontal
Cannot be drawn in quizlet
41. x=no real numbers is what type of an equation?
inconsistant
A line passing through two distinct points
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
42. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Change in y / change in x = rise / run = y2-y1 / x2-x1
x is the hours to repair the boat. $1603-532=anwser/63 = x
Approach neg toward x through zero and above positive close to x
43. What is the domain of an identity function?
Piecewise
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
44. what can never equal zero in the slope formula and why?
2nd catalog (zero key -) abs(x) - graph
x2-x1 because the demonaitor of a quotient can never equal zero
inconsitent
down
45. What is the formula for an identity function?
f(x^1)=f(x^2)
x = the original sale price and the formula is x - .40x =$276
f(x) = x
f(x)=suare root of x
46. What are the steps for solving a word problem?
Yes because two x's or domains can point to one y
up
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
47. What is the formula for the cube root function?
45 degree angle
f(x)=3 square root x
1 -2 -3
(-infinity - +infinity)
48. y^2+x=4 is this a function? Why?
49. Which direction does f(x)=+c move in standard absolute value formula?
up
f(x+c) and f(x-c)
Y=b
even
50. What type of function would you use to calculate the most advantageous cell phone plan?
negative slope
Y=x^2 - graph
Piecewise
C>1 - horizontal shrinking