Podcast
Questions and Answers
For the function $g(x) = -5x + 17$, which statement regarding its intercepts is correct?
For the function $g(x) = -5x + 17$, which statement regarding its intercepts is correct?
- The x-intercept is $\frac{17}{5}$ and the y-intercept is 17. (correct)
- The x-intercept is 0 and the y-intercept is 17.
- The x-intercept is 17 and the y-intercept is 0.
- The x-intercept is 17 and the y-intercept is $\frac{17}{5}$.
Given the function $g(x) = -5x + 17$, how does the graph change if the function is transformed to $g(x) = -5x + 3$?
Given the function $g(x) = -5x + 17$, how does the graph change if the function is transformed to $g(x) = -5x + 3$?
- The graph shifts 14 units downwards. (correct)
- The graph shifts 14 units upwards.
- The graph shifts 3 units to the left.
- The graph shifts 3 units to the right.
Which of the following describes the domain and range of the function $g(x) = -5x + 17$?
Which of the following describes the domain and range of the function $g(x) = -5x + 17$?
- Domain: all real numbers, Range: $g(x) \geq 17$
- Domain: all real numbers, Range: all real numbers (correct)
- Domain: $x \geq 0$, Range: all real numbers
- Domain: $x \geq 17$, Range: $g(x) \geq 0$
How does increasing the coefficient of $x$ in the function $g(x) = -5x + 17$ to -1 affect the slope of the line?
How does increasing the coefficient of $x$ in the function $g(x) = -5x + 17$ to -1 affect the slope of the line?
Given $g(x) = -5x + 17$, evaluate $g(g(1))$.
Given $g(x) = -5x + 17$, evaluate $g(g(1))$.
Which of the following equations is parallel to $g(x) = -5x + 17$?
Which of the following equations is parallel to $g(x) = -5x + 17$?
Which of the following transformations will result in the new function $f(x) = 5x + 17$ based on the original function $g(x) = -5x + 17$?
Which of the following transformations will result in the new function $f(x) = 5x + 17$ based on the original function $g(x) = -5x + 17$?
Suppose $g(x) = -5x + 17$ represents the cost of producing $x$ items. What does the 17 represent?
Suppose $g(x) = -5x + 17$ represents the cost of producing $x$ items. What does the 17 represent?
How does changing the function from $g(x) = -5x + 17$ to $h(x) = -5(x - 2) + 17$ affect the graph?
How does changing the function from $g(x) = -5x + 17$ to $h(x) = -5(x - 2) + 17$ affect the graph?
If $g(x) = -5x + 17$, for what value of $x$ does $g(x) = 0$?
If $g(x) = -5x + 17$, for what value of $x$ does $g(x) = 0$?
Flashcards
What is the domain of a function?
What is the domain of a function?
The possible input values for a function.
What is the range of a function?
What is the range of a function?
The possible output values of a function.
What is the x-intercept?
What is the x-intercept?
The point where a line crosses the x-axis (where y=0).
What is the domain of a linear function?
What is the domain of a linear function?
Signup and view all the flashcards
What is the range of a linear function?
What is the range of a linear function?
Signup and view all the flashcards
The x-intercept of g(x) = -5x + 17 is 17. True or false?
The x-intercept of g(x) = -5x + 17 is 17. True or false?
Signup and view all the flashcards
Study Notes
- The function g(x) = -5x + 17 to is used to answer the questions.
- Determine the three correct statements about g(x).
- The x-intercept of g is 17 is not true
- The range of g includes all real numbers and is true.
- "The value for x is the output for g," is not true.
- The domain of g includes all real numbers and is true.
- The graph of g is the graph of y = -5x + 17 and is true.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
