3.1.2 Vergelyking van \( h \), die simmetrie-as van \( g \) wat'n positiewe gradiënt het Skets die grafiek van \( h \) op die diagramvel wat verskaf is. Dui AL die asimptote en die snypunte met die asse duidelik aan.

Let \( f(x)=7\left(\frac{1}{2}\right)^{x} \). Complete parts (a) through (e) below. (e) Is f a one-to-one function? Does fhave an inverse?

Use the theorems proved in class about induction to evaluate the sums below. (Note that you are begin asked to apply the theorems, not formally proving a new theorem.) a. \( 7+14+21+28+\cdots+350^{\circ} \) b. \( 16+17+18+\cdots+411 \) c. \( 1-\frac{1}{10}+\frac{1}{100}-\frac{1}{1000} \cdots+\frac{1}{10^{18}} \)

The table contains values for \( f(x) \). If \( h(x) \) is the reflection of \( f(x) \) across the \( x \)-axis, find the missing value in the ordered pair below, for \( h(x) \). \( x \quad-\frac{\pi}{2}-\frac{\pi}{4} \) \( f(x) \) 0

Let \( f(x)=7\left(\frac{1}{2}\right)^{x} \). Complete parts (a) through (e) below (c) Find any asymptotes of the graph of \( f \). Select the co

Let \( f(x)=7\left(\frac{1}{2}\right)^{x} \). Complete parts (a) through (e) below. (a) What are the domain and range of \( f \) ? The domain of \( f \) is \( \square \) and the range of \( f \) is (Type your answers in interval notation.) (b) Is f either increasing or decreasing on its domain?