smc-6921-25-Identify Graphs

Algebra, STD2 A4 2025 HSC 2 MC

Which graph could represent \(y=4^x\) ?

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\(A\)

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\(\text{At}\ \ x=0, \ y=1\ \ \Rightarrow\ \ \text{Eliminate D}\)

\(\text{As}\ x\ \text{increases,}\ 4^{x}\ \text{increases (exponentially).}\)

\(\Rightarrow A\)

Which of the following best represents the graph of `y = 10 (0.8)^x`?

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`A`

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`\text{By elimination:}`

♦ Mean mark 41%.

`\text{When} \ x = 0 \ , \ y = 10(0.8) ^0 = 10`

`-> \ text{Eliminate B and D}`

`text(As)\ \ x→oo, \ y→0`

`-> \ text{Eliminate C}`

`=> A`