Question

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.

Answer 1

the heart graph is not a function
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-45,-55,-65
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A(30) = -1 + (30 - 1) * 2 = -1 + 29 * 2 = -1 + 58 = 57 <==
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the vertical line test
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range is { 1,7,13 }
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I am having a problem with the last one....with the points that are listed, it is not a function...because u have 2 x- values that are 4

Answer 2

Ans1: Heart shaped graph

Ans2: option:C

Ans3: option:D

Ans4: option:A

Ans5: option:D

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
`d=-10`

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

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

`a_(n)=-1+(n-1)* 2`

`a_(30)=-1+(30-1)* 2\\ \\a_(30)=-1+29*2\\ \\a_(30)=-1+58\\ \\a_(30)=57`

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.