10. [-/1 Points] DETAILS SPRECALC7 2.2.039. MY NOTES ASK YOUR TEACHER Sketch a graph of the piecewise defined function. -2 if x 1 4 1 X -6 -4 -2 2 4 6 -6 -4 -2 2 4 6 -0-2 -4 -4 - 6 O O N A Q 4 W X UX -6 -4 -2 2 6 -6 -4 6 4 - 2 2 4 -21 -4 -4 O O6. [-/3.5 Points] DETAILS SPRECALC7 2.3.004. MY NOTES ASK YOUR TEACHER The function f graphed below is defined by a polynomial expression of degree 4. Use the graph to solve the exercise. -3 (a) A function value f(a) is a local maximum value of f if f(a) is the ---Select--- value of f on some open interval containing a. From the graph of f we see that there are two local maximum values of f: one local maximum is , and it occurs when x = 2; the other local maximum is , and it occurs when x = (b) The function value f(a) is a local minimum value of f if f(a) is the ---Select--- > value of f on some open interval containing a. From the graph of f we see that there is one local minimum value of f. The local minimum value is , and it occurs when X = 7. [-/2.5 Points] DETAILS SPRECALC7 2.3.003. MY NOTES ASK YOUR TEACHER The function f graphed below is defined by a polynomial expression of degree 4. Use the graph to solve the exercise. 3 (a) If f is increasing on an interval, then the y-values of the points on the graph ---Select--- ) as the x-values increase. From the graph of f we see that f is increasing on the intervals . (Enter your answer using interval notation.) (b) If f is decreasing on an interval, then the y-values of the points on the graph ---Select--- 4 F( - 5) = f ( - 1) = f ( 3 ) = f ( 4 ) = f ( 7 ) =8. [-/1 Points] DETAILS SPRECALC7 2.2.056. MY NOTES ASK YOUR TEACHER Consider the following. 4 2 -4 -2 2 4 -2 Use the Vertical Line Test to determine whether the curve is the graph of a function of x. Yes, the curve is a function of x. O No, the curve is not a function of x. If the curve is a function, state the domain and range. domain: O [-4, 4] O {-3} u [0, 5] O {- 3} U ( 0, 5] O ( -00, 00 ) O The curve is not a function. range: O [-4, 4] O {-3} u [0, 5 ] O {-3} u (0, 5] O ( - 00, 00 ) The curve is not a function. 9. [-/2 Points] DETAILS SPRECALC7 2. 1.002. MY NOTES ASK YOUR TEACHER For a function q, the set of all possible inputs is called the ---Select--- of q, and the set of all possible outputs is called the ---Select--- of q.3. [-/1 Points] DETAILS SPRECALC7 2.2.041. MY NOTES ASK YOUR TEACHER Sketch a graph of the piecewise defined function. F( x ) = 12 if x s - 1 if x > - 1 4 4 15 15 - 10 10 5 -15 -10 -5 5 10 15 -15 -10 -5 5 10 15 -5 -5 - 10 -10 O -15 O -15 4 15 15 10 10 5 Q -15 X -10 -5 5 10 15 - 15 -10 -5 5 10 15 -5 -5 - 10 -10 O -15 O - 1511. [-I1 Points] DETAILS SPRECALC7 2.3.045. MY NOTES ASK YOUR TEACHER The graph of a function fis given. Use the graph to estimate the following. Y (a) All the local maximum and minimum values of the function and the value ofx at which each occurs. local maximum (x, y) = ( (smaller Xvalue) local maximum (x, y) = (smaller x-value) local minimum (x, y) = (larger x-value) ) :' ) (larger Xvalue) :l ) :l ) ( local minimum (x, y) = ( ( (b) The intervals on which the function is increasing and on which the function is decreasing. (Enter your answers using interval notation.) increasing decreasing ' 4. [-/1 Points] DETAILS SPRECALC7 2.1.022. MY NOTES ASK YOUR TEACHER Evaluate the function at the indicated values. (If an answer is undefined, enter UNDEFINED.) h (x ) = xz+ 4; 5 h ( 2 ) , h ( - 2 ) , h (a ) , h ( - x ) , h (a - 2 ) , h ( v x ) h ( 2 ) = h ( - 2 ) = h(a) = h ( - x ) = h(a - 2) = h ( v x ) = 5. [-/1 Points] DETAILS SPRECALC7 2.1.048. MY NOTES ASK YOUR TEACHER Find f(a), f(a + h), and the difference quotient fath - (@, where h $ 0. h 2x f ( x ) = -4 x - 7 f(a ) = f (a + h ) = f (a + h ) - f (a ) h