Which of the following graphs is not a function? *
what are the next 3 terms in the sequence? -5, -15, -25, -35, … *
1 point
a) 34, 44, 54
b) - 46, - 56, - 66
c) - 45, - 55, - 65
d) 44, 54, 64
what is the 30th term in a sequence given by the explicit function: a(n) = -1 + (n-1)2 *
1 point
a) 63
b) -57
c) -1
d) 57
11) fill in the blank. the line test is used to determine if a graph is a function. *
1 point
a) vertical
b) linear
c) horizontal
d) algebra
given that f (x) = 3x – 5 and the domain of f is {2,4,6}, find the range of f(x). *
1 point
a) {11,17,20}
b) {-6,-4,-2}
c) {2,4,6}
d) {1,7,13}
16) the set of ordered pairs shown represents a function f. { (4, -2), (-1, -1), (0, 0), (1, -1), (4,2) } select the ordered pair that could be added to the set so that f remains a function.

Ans1:  Heart shaped graph

Ans2:  option:C

Ans3:   option:D

Ans4:    option:A

Ans5:     option:D

Step-by-step explanation:

Ans1:  Heart shaped graph is not a function.

" since for a graph to be a function: any line passing through the domain and parallel to the co-domain should intersect the graph exactly once ".

also we can see from some examples in a figure attached to the answer.

Ans2:  we are given a sequence as:   -5,-15,-25,-35

as the given sequence is an Arithmetic Progression(A.P.) with a common difference

Hence the next three terms of the sequence are:   -45,-55,-65

Ans3: we are asked to find the 30th term of a sequence

Hence, the 30th term of the given sequence is 57.

Ans4: The vertical line test is used to determine if the graph is a function.

Ans5:   we are given a function f(x)=3x-5

with domain={2,4,6}

range of f(x):

when x=2  f(x)=3×2-5=6-5=1

when x=4   f(x)=3×4-5=12-5=7

when x=6   f(x)=3×6-5=18-5=13

Hence, range of f(x)={1,7,13}.

Ans6:   the given set of ordered pair is: {(4,-2),(-1,-1),(0,0),(1,-1),(4,2)}

As from the given set we could see that '4' has two images.

As '4' is mapped to '-2' and '2'{ since, the given ordered pair is (4,-2) and(4,2)}

Hence, f can't be a function.

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4