taiwan-gsat 2025 Q6

taiwan-gsat · Other · ast__math-a 8 marks Exponential Functions True/False or Multiple-Statement Verification

Let the exponential function $f(x) = 1.2^{x}$. Select the correct options.
(1) $f(0) > 0$
(2) $f(10) > 10$
(3) On the coordinate plane, the graph of $y = 1.2^{x}$ intersects the line $y = x$
(4) On the coordinate plane, the graphs of $y = 1.2^{x}$ and $y = \log(1.2^{x})$ are symmetric about the line $y = x$
(5) For any positive real number $b$, $\log_{1.2} b \neq 1.2^{b}$

Let the exponential function $f(x) = 1.2^{x}$. Select the correct options.

(1) $f(0) > 0$

(2) $f(10) > 10$

(3) On the coordinate plane, the graph of $y = 1.2^{x}$ intersects the line $y = x$

(4) On the coordinate plane, the graphs of $y = 1.2^{x}$ and $y = \log(1.2^{x})$ are symmetric about the line $y = x$

(5) For any positive real number $b$, $\log_{1.2} b \neq 1.2^{b}$

Paper Questions

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