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MATH / Which of the following diagrams represent graphs of functions?
Problem
Answer published by the source. Consult the official source to check your work against its answer.
problem
Which of the following diagrams represent graphs of functions?
[asy]
unitsize(0.5 cm);
picture[] graf;
int i, n;
real upperparab(real x) {
return(sqrt(x + 2));
}
real lowerparab(real x) {
return(-sqrt(x + 2));
}
for (n = 1; n <= 5; ++n) {
graf[n] = new picture;
for (i = -5; i <= 5; ++i) {
draw(graf[n],(i,-5)--(i,5),gray(0.7));
draw(graf[n],(-5,i)--(5,i),gray(0.7));
}
draw(graf[n],(-5,0)--(5,0),Arrows(6));
draw(graf[n],(0,-5)--(0,5),Arrows(6));
label(graf[n],"", (5,0), E);
label(graf[n],"", (0,5), N);
}
draw(graf[1],(-5,1)--(-2,-2)--(0,3)--(4,3),red);
draw(graf[2],Circle((1,2),1.3),red);
draw(graf[3],(-5,-5)--(5,5),red);
draw(graf[3],(-5,5)--(5,-5),red);
draw(graf[4],arc((-5,0),4,0,90),red);
draw(graf[4],(-0,-2)--(3,3),red);
draw(graf[5],graph(upperparab,-2,5),red);
draw(graf[5],graph(lowerparab,-2,5),red);
label(graf[1], "A", (0,-6));
label(graf[2], "B", (0,-6));
label(graf[3], "C", (0,-6));
label(graf[4], "D", (0,-6));
label(graf[5], "E", (0,-6));
add(graf[1]);
add(shift((12,0))*(graf[2]));
add(shift((24,0))*(graf[3]));
add(shift((6,-12))*(graf[4]));
add(shift((18,-12))*(graf[5]));
[/asy]
Enter the letters of the diagrams that represent functions, separated by commas.
Plain-text mathematical notation (without MathML)
Which of the following diagrams represent graphs of functions?
[asy]
unitsize(0.5 cm);
picture[] graf;
int i, n;
real upperparab(real x) {
return(sqrt(x + 2));
}
real lowerparab(real x) {
return(-sqrt(x + 2));
}
for (n = 1; n <= 5; ++n) {
graf[n] = new picture;
for (i = -5; i <= 5; ++i) {
draw(graf[n],(i,-5)--(i,5),gray(0.7));
draw(graf[n],(-5,i)--(5,i),gray(0.7));
}
draw(graf[n],(-5,0)--(5,0),Arrows(6));
draw(graf[n],(0,-5)--(0,5),Arrows(6));
label(graf[n],"x", (5,0), E);
label(graf[n],"y", (0,5), N);
}
draw(graf[1],(-5,1)--(-2,-2)--(0,3)--(4,3),red);
draw(graf[2],Circle((1,2),1.3),red);
draw(graf[3],(-5,-5)--(5,5),red);
draw(graf[3],(-5,5)--(5,-5),red);
draw(graf[4],arc((-5,0),4,0,90),red);
draw(graf[4],(-0,-2)--(3,3),red);
draw(graf[5],graph(upperparab,-2,5),red);
draw(graf[5],graph(lowerparab,-2,5),red);
label(graf[1], "A", (0,-6));
label(graf[2], "B", (0,-6));
label(graf[3], "C", (0,-6));
label(graf[4], "D", (0,-6));
label(graf[5], "E", (0,-6));
add(graf[1]);
add(shift((12,0))*(graf[2]));
add(shift((24,0))*(graf[3]));
add(shift((6,-12))*(graf[4]));
add(shift((18,-12))*(graf[5]));
[/asy]
Enter the letters of the diagrams that represent functions, separated by commas.Original LaTeX notation
Which of the following diagrams represent graphs of functions?
[asy]
unitsize(0.5 cm);
picture[] graf;
int i, n;
real upperparab(real x) {
return(sqrt(x + 2));
}
real lowerparab(real x) {
return(-sqrt(x + 2));
}
for (n = 1; n <= 5; ++n) {
graf[n] = new picture;
for (i = -5; i <= 5; ++i) {
draw(graf[n],(i,-5)--(i,5),gray(0.7));
draw(graf[n],(-5,i)--(5,i),gray(0.7));
}
draw(graf[n],(-5,0)--(5,0),Arrows(6));
draw(graf[n],(0,-5)--(0,5),Arrows(6));
label(graf[n],"$x$", (5,0), E);
label(graf[n],"$y$", (0,5), N);
}
draw(graf[1],(-5,1)--(-2,-2)--(0,3)--(4,3),red);
draw(graf[2],Circle((1,2),1.3),red);
draw(graf[3],(-5,-5)--(5,5),red);
draw(graf[3],(-5,5)--(5,-5),red);
draw(graf[4],arc((-5,0),4,0,90),red);
draw(graf[4],(-0,-2)--(3,3),red);
draw(graf[5],graph(upperparab,-2,5),red);
draw(graf[5],graph(lowerparab,-2,5),red);
label(graf[1], "A", (0,-6));
label(graf[2], "B", (0,-6));
label(graf[3], "C", (0,-6));
label(graf[4], "D", (0,-6));
label(graf[5], "E", (0,-6));
add(graf[1]);
add(shift((12,0))*(graf[2]));
add(shift((24,0))*(graf[3]));
add(shift((6,-12))*(graf[4]));
add(shift((18,-12))*(graf[5]));
[/asy]
Enter the letters of the diagrams that represent functions, separated by commas.level
Level 2
type
Intermediate Algebra
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