Understanding Function Notation and Evaluation

What does the notation f(x) represent in function notation?

• The difference between f and x

• The product of f and x

• The value of f at x

• The sum of f and x

In function notation, what does the variable inside the parentheses represent?

• The output or dependent variable

• The coefficient of the function

• The constant value

• The input or independent variable

When evaluating f(x) = 3x - 2 at x = 5, what is the output?

• 13

• 17

• 15

• 11

What is the result of evaluating g(x) = -2x + 8 at x = 0?

• 0

• 6

• 10

• 8

How do you handle a negative exponent when evaluating a function?

• Ignore it

• Move it to the denominator

• Subtract it from the base

• Add it to the base

What is the output of h(x) = √(x - 6) when x = 4?

• 2

• 0

• Undefined

• 4

If f(x) = 3x^2 and f(x) = 75, what are the possible values of x?

• 20 and -20

• 15 and -15

• 10 and -10

• 5 and -5

When solving for x in h(x) = √(x - 6) = 3, what is the value of x?

• 9

• 12

• 18

• 15

On a graph, what does an open dot signify?

• A maximum point

• A minimum point

• A defined value

• An undefined value

If a graph shows y = 2 at multiple x-values, what does this indicate?

• A single solution

• Multiple solutions

• An undefined solution

• No solution