Exploring Function Concepts in AP Precalculus

What is the primary focus of task model one in the AP pre-calculus exam?

• Trigonometric functions

• Function concepts

• Real-world applications

• Differential equations

Which device is essential for solving problems in task model one?

• Scientific calculator

• Graphing calculator

• None

• Abacus

In the composite function G(f(x)), what is the correct sequence of operations?

• Input into G, then F

• Input into F, then G

• Input into F and G simultaneously

• No specific sequence

What is the output of G when the input is -2?

• 5.115

• 5.112

• 5.114

• 5.113

For which values of x does f(x) equal 5?

• x = 5

• x = 2 and x = 5

• x = 2 and x = 12

• No such values

Is there any value of x for which G(x) equals -20?

• Yes, multiple values

• Yes, one value

• No, G(x) is always positive

• No, G(x) is always negative

What is the end behavior of the function G as x approaches negative infinity?

• Approaches infinity

• Remains constant

• Becomes negative

• Approaches zero

Is the function f invertible?

• Only in certain conditions

• No, it is not invertible

• Invertibility cannot be determined

• Yes, it is invertible

Why is the function f not considered invertible?

• It does not pass the vertical line test

• It has repeated output values for different inputs

• It is not continuous

• It is not defined for all real numbers

What mathematical concept is used to describe the end behavior of function G?

• Algebraic manipulation

• Limit

• Integral

• Derivative