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.