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Verified Answer :

f(x) = 13x

A) -13 = 13 -1 (yes)
B) 9 = 13
-2 (no)
C) 27 = 13 3 (no)
D) 1 = 13
0 (no)

So the answer is only A lays on the graph

Answer:


A.(−1, −13)  - yes


B.(−2, 9)  - no


C.(3, 27)  - no


D.(0, 1)- no

Step-by-step explanation:

Equation : \(f(x)=(13)x\)

We are supposed to find Which points are on the graph

So, the points which will satisfy the equation lies on the graph

A.(−1, −13)

x = -1

f(x)=-13

Substitute the points in graph

\(f(x)=(13)x\)

\(-13=(13(-1))\)

\(-13=-13\)

Since LHs = RHS

So, (−1, −13) is on the graph of \(f(x)=(13)x\)

B.(−2, 9)

x = -2

f(x)=9

Substitute the points in graph

\(f(x)=(13)x\)

\(9=(13(-2))\)

\(-13 eq -26\)

Since LHs≠RHS

So, (−2, 9) is not on the graph of \(f(x)=(13)x\)

C.(3, 27)

x = 3

f(x)=27

Substitute the points in graph

\(f(x)=(13)x\)

\(27=(13(3))\)

\(27 eq 39\)

Since LHs≠RHS

So, (3, 27) is not on the graph of \(f(x)=(13)x\)

D.(0,1)

x = 0

f(x)=1

Substitute the points in graph

\(f(x)=(13)x\)

\(1=(13(0))\)

\(1 eq 0\)

Since LHs≠RHS

So, (0,1) is not on the graph of \(f(x)=(13)x\)