Let's Practice
Are you ready to take this lesson's quiz? The questions below will help you find out. Make sure you understand why each correct answer is correct--if you don't, review that part of the lesson.
Does the relation {(1,7), (2, 15), (3, 23), (4, 31)} represent a function?
- Yes. Each input value is exactly one more than the last input value.
- No. A set of four points cannot be a function.
- Yes. Each input value is related to exactly one output value.
- No. All functions have more than four input values.
The specific values do not have to be certain numbers.
A set of four points can form a function.
A function exists when each input value is related to exactly one output value.
A set of four points can form a function.
Which is the graph of the function {(1,7), (2, 15), (3, 23), (4, 31)}?
Plot the values as (x, y) coordinate points.
Plot the values as (x, y) coordinate points.
Plot the values as (x, y) coordinate points.
Plot the values as (x, y) coordinate points.
Which is the best description of domain?
- The repeated values in the output set.
- The connection between sets of values.
- The output values of a function.
- The x-values on a graph.
This is a description of the range.
This is the definition of a relation.
This is a description of the range.
The input values are the domain. These are plotted along the x-axis of a graph.
What is the range of {(1,7), (2, 15), (3, 23), (4, 31)}?”
- {1, 2, 3, 4}
- {1, 2, 3, 4, 7, 15, 23, 31}
- {7, 15, 23, 31}
- {1, 2, 7, 15}
The output values represent the range.
The output values represent the range.
The output values represent the range.
The output values represent the range.
Which is not a function?
A function matches one input value to exactly one output value.
A function matches one input value to exactly one output value.
A function matches one input value to exactly one output value.
A function matches one input value to exactly one output value.
Which table represents the ordered pairs (–4, 3), (0, 1), (2, 11), (9, 15)?
-
Set 1 Set 2 –4 0 2 9 3 1 11 15 -
Set 1 Set 2 –4 3 0 1 2 11 9 15 -
Set 1 Set 2 –9 15 0 1 11 2 3 -4 -
Set 1 Set 2 3 –4 1 0 11 2 9 15
The first value in each ordered pair represents Set 1, and the second value in each ordered pair represents Set 2.
The first value in each ordered pair represents Set 1, and the second value in each ordered pair represents Set 2.
The first value in each ordered pair represents Set 1, and the second value in each ordered pair represents Set 2.
The first value in each ordered pair represents Set 1, and the second value in each ordered pair represents Set 2.
Evaluate \( g\left( x \right) = - 2x + 8 \) for \( x = - 4 \).
- \( g\left( - 4 \right) = 0 \)
- \( g\left( - 4 \right) = 6 \)
- \( g\left( - 4 \right) = 16 \)
- \( g\left( - 4 \right) = 10 \)
Substitute the given value for x and then solve.
Substitute the given value for x and then solve.
Substitute the given value for x and then solve.
Substitute the given value for x and then solve.
Is the equation \( y^{4} = x \) a function? Explain.
- Yes, the equation is a function. You can rewrite it as \( y^{4} - x = 0 \).
- No, the equation is not a function. The exponent on the y variable is 3 more than the exponent on the x variable.
- Yes, the equation is a function. The variable x is raised to the first power.
- No, the equation is not a function. The variable y is raised to an even power.
An equation is not a function when the output variable is raised to an even power.
An equation is not a function when the output variable raised to an even power.
An equation is not a function when the output variable raised to an even power.
An equation is not a function when the output variable raised to an even power.
Summary
Questions answered correctly:
Questions answered incorrectly:
