QUESTION 7 Given: \( f(x)=\frac{2}{x+4}-1 \) 7.1 Write down the equation of the asymptotes of \( f \). 7.2 Calculate the intercepts of the graph of \( f \) with the axes. 7.3 Sketch the graph of \( f \), showing clearly the asymptotes and intercepts with the axes. 7.4 Write down the coordinates of the image of the \( x \)-intercept if it is reflected about the axis of symmetry \( y=-x-5 \). 7.5 Write down the range of \( y=-f(x) \). Describe in words, the transformation of \( f \) to \( g \) if \( g(x)=\frac{-2}{x-4}-1 \).

Find the function that is finally graphed after the following transformations are applied to the graph of \( y=\sqrt{x} \) in the order listed. (1) Shift up 7 units (2) Reflect about the \( x \)-axis (3) Reflect about the \( y \)-axis \( y= \)

Express \( 148.38^{\circ} \) in radians. Answer \( = \) Blank 1 (Express your answer in 2 decimal points)

If \( (-1,8) \) is a point on the graph of \( y=f(x) \), which of the following must be on the graph of \( y=f(-x) \) ? \( (8,1) \) \( (-1,-8) \) Choose the correct answer below. \( (1,8) \) \( (-8,-1) \)

Clearly indicate all intercepts with the axes as well as the QUESTION 7 Given the function with the equation \( k(x)=\frac{-6}{x+2}-2 \) : 7.1 Write the equations of the asymptotes of \( k \). 7.2 Give the range of \( k \). 7.3 Give the domain of \( k \).

Given the function with the equation \( k(x)=\frac{-6}{x+2}-2 \) : 7.1 Write the equations of the asymptotes of \( k \). 7.2 Give the range of \( k \). 7.3 Give the domain of \( k \). 7.4 Drite the equation of the axis of symmetry, with a positive gradient. 7.5 If \( k \) is reflected over the \( x \)-axis and shifted upwards by 2 units, 7.6 give the equation of the new function, \( j(x) \), after the transformations. 7.7 In which quadrant(s) would the arms of \( k \) not be if it was sketched?