1. Problem statement: We have three functions: $$f(x) = 0.9 \cdot x - 2$$ $$g(x) = 0.9 \cdot 1.4^x$$ $$h(x) = 2 \cdot 0.9^x$$ We need to determine for each function whether it is increasing (voksende) or decreasing (aftagende). 2. For linear functions like $f(x) = mx + b$, the function is increasing if the slope $m > 0$ and decreasing if $m < 0$. 3. For exponential functions of the form $a \cdot b^x$: - If the base $b > 1$, the function is increasing. - If $0 < b < 1$, the function is decreasing. 4. Analyze $f(x) = 0.9x - 2$: - The slope is $0.9$ which is positive. - Therefore, $f(x)$ is increasing. 5. Analyze $g(x) = 0.9 \cdot 1.4^x$: - The base $1.4 > 1$. - Therefore, $g(x)$ is increasing. 6. Analyze $h(x) = 2 \cdot 0.9^x$: - The base $0.9$ satisfies $0 < 0.9 < 1$. - Therefore, $h(x)$ is decreasing. Final answers: - $f(x)$ is increasing. - $g(x)$ is increasing. - $h(x)$ is decreasing.