True or False? In Exercises 63–66, determine whetherthe statement is true or false. Justify your answer.63. The graph of y = f(−x) is a reflection of the graph ofy = f(x) in the x-axis.64. The graph of y = −f(x) is a reflection of the graph ofy = f(x) in the y-axis.65. The graphs of f(x) = ∣x∣ + 6 and f(x) = ∣−x∣ + 6 areidentical.66. If the graph of the parent function f(x) = x2 is shiftedsix units to the right, three units up, and reflected in thex-axis, then the point (−2, 19) will lie on the graph ofthe transformation.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
True or False? In Exercises 63–66, determine whether
the statement is true or false. Justify your answer.
63. The graph of y = f(−x) is a reflection of the graph of
y = f(x) in the x-axis.
64. The graph of y = −f(x) is a reflection of the graph of
y = f(x) in the y-axis.
65. The graphs of f(x) = ∣x∣ + 6 and f(x) = ∣−x∣ + 6 are
identical.
66. If the graph of the parent
six units to the right, three units up, and reflected in the
x-axis, then the point (−2, 19) will lie on the graph of
the transformation.
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