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Find the requested value.
f(5) for f(x) (^) =
5x + 3 if x ≤ 0 5 - 4x if 0 < x < 4 x if x ≥ 4
Graph the function.
f(x) =
x2^ - 3 if x < - 1 0 if (^) - (^1) ≤ x (^) ≤ 1 x2^ + 4 if 1 (^) < x
-10 10 x
y 10
-10 10 x
y 10
Determine if the graph is symmetric with respect to the x-axis, y-axis, or origin.
-10 10 x
10 y
-10 10 x
10 y
Determine whether the graph of the given function is symmetric with respect to the y-axis, symmetric with respect to the origin, or neither.
- f(x) = - 0.79x^2 + x + 2 4)
Provide an appropriate response.
- The graph shown is a translation of the function y (^) = x. The graph shown is of the form y = x - h + k. What are the values of h and k? Hint: h is horizontal shift and k is vertical.
-10 10 x
y 10
-10 10 x
y 10
Find the equation of the axis of symmetry of the parabola.
- y (^) = 4x^2 - 8x (^) + 6 6)
State whether the vertex of the function is a maximum or minimum and give the corresponding maximum or minimum value of the function.
f(x) = - x^2 - 20x - 107 7)
f(x) (^) = x^2 - 14x (^) + 53 8)
For problem 8) find f(-7). 9)
For problem 8) find f(x) (^) = 3. 10)
Answer Key
Testname: M1101 SPRING 2009 TEST
-10 -5 5 10 x
y 10
5
-10 -5 5 10 x
y 10
5
- x-axis, y-axis, origin
- y-axis
- h = 2 , k = - 4
- x = 1
- maximum: (^) - 7
- minimum: 4
- The ball reaches a maximum height of 44.6 feet in 1.6 seconds.
