# College Algebra Study Guide Test 2

NOTE: For the test you must show all work where appropriate (for instance, solving an equation ). The correct answer
with no proper justification qualifies for NO CREDIT.

Evaluate the piecewise function at the given value of the independent variable .

De termine f (3).

Determine f(3).

Identify the intervals where the function is changing as requested .

 3) Increasing

 4) Constant

Use the graph of the given function to find any relative maxima and relative minima.

Determine whether the given function is even, odd, or neither.

Use possible symmetry to determine whether the graph is the graph of an even function, an odd function, or a function
that is neither even nor odd.

Find the slope of the line that goes through the given points.

Use the given conditions to write an equation for the line in point-slope form.

 11) Passing through (-4, -5) and (-7, -4) 12) Passing through (1, -5) with x-intercept = -1

Use the given conditions to write an equation for the line in slope- intercept form .

 13) , y-intercept = 5 14) Passing through (-3, -4) and (-6, -5)

Graph the line whose equation is given.

Graph the equation in the rectangular coordinate system .

Determine the slope and the y-intercept of the graph of the equation.

Graph the linear function by plotting the x - and y-intercepts.

Use the given conditions to write an equation for the line in the indicated form.

 20) Passing through (3, 2) and parallel to the line whose equation is y = -2x + 3 ; point-slope form 21) Passing through (3, 4) and parallel to the line whose equation is 3x + y - 3 = 0; slope-intercept form

Find the average rate of change of the function from to .

 22) f(x) = -3x2 - x from = 5 to = 6

Use the shape of the graph to name the function.

Begin by graphing the standard quadratic function f(x) = x2 . Then use transformations of this graph to graph the given
function.

Begin by graphing the standard absolute value function f(x) =l x l. Then use transformations of this graph to graph the
given function.

Find the domain of the function.

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