Question

Can someone please help?

Answer 1

• f(x)=4x-9

#a

• (3,-3)

Lets check

`\\ \rm\rightarrowtail -3=4(3)-9=12-9=3`

• No

#b

x=2

`\\ \rm\rightarrowtail f(2)=4(2)-9=8-9=-1`

#c

• f(x)=7

`\\ \rm\rightarrowtail 4x-9=7`

`\\ \rm\rightarrowtail 4x=16`

`\\ \rm\rightarrowtail x=4`

#d

• x=2

Already done in 2nd bit .

• No not a zero

Answer 2

(a) no

(b) -1, (2, -1)

(c) 4, (4, 7)

(d) no

Explanation:

(a)

You can check by using x=3 in the function.

f(3) = 4(3) -9 = 12 -9 = 3 . . . . not -3

The point (3, -3) is not on the graph.

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(b)

Put x=2 into the function and evaluate:

f(2) = 4(2) -9 = 8 -9

f(2) = -1

The point (2, -1) is on the graph.

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(c)

Put f(x) = 7 into the equation and solve for x.

7 = 4x -9

16 = 4x

4 = x

The point (4, 7) is on the graph.

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(d)

no, see part (b)