Si la fonction exponentielle a une forme \( f(x) = a^x + k \), comment détermineriez-vous les caractéristiques clés si \( k < 0 \) ?

81 The range of the function \( f(x)=2-x^{2}, x \neq 0 \) is \( \ldots \ldots \ldots \ldots \ldots \) \( \begin{array}{llll}\text { (a) }]-\infty, 2] & \text { (b) }] 2, \infty[ & \text { (c) }] 0,2] & \text { (d) }[0,2]\end{array} \)

Graph, state domain and range: \[ y=-3 \sqrt{x+3}+5 \]

1. Expand \( (1+x)^{\frac{1}{3}} \) in ascending powers of x up to the term \( x^{3} \). By substituting 0.08 for \( x \) in your result. Obtain an approximation value of the cube root of 5 .

The equation of a hyperbola is given by \( f(x)=\frac{3}{x-7}-4 \). Write down the equation of the new function that is formed when \( f \) is transformed as Shift two units to the left \( 3.2 \quad \) Shift 3 units up Shift 1 unit right and 2 units down \( 3.4 \quad \) The equation of the new hyperbola has new asymptotes at \( x=-4 \) and \( y=-1 \)

Pre-Calculus 11 Practice Midterm 2 Find the \( x \)-intercepts of the following quadratic function: \( y=3 x^{2}-13 x-10 \)