.4 Sketch graphs of simple functions Flashcards","topicId":"3ef2e95f-13a3-4e27-9c79-53ebc408207a","topicSlug":"sketch-graphs-of-simple-functions","cards":[{"id":"15bdf9d3-48e9-4218-9776-2ba6d5b155a1","cardType":"cloze","front":"The graph of $y=f(x)$ consists of points with coordinates $\\text{[...]}$.","back":"The graph of $y=f(x)$ consists of points with coordinates $\\boxed{(x,f(x))}$.","points":null,"mcqOptions":null},{"id":"9f16d7d1-8f09-43b9-95ca-b421918c3ccf","cardType":"basic","front":"What substitution finds the vertical-axis intercept of $y=f(x)$?","back":"Substitute $x=0$, giving $(0,f(0))$.","points":1,"mcqOptions":null},{"id":"7dd1184f-8583-4bea-a3e4-5b1c4b96f296","cardType":"basic","front":"How are the horizontal-axis intercepts of $y=f(x)$ found?","back":"Solve $f(x)=0$.","points":1,"mcqOptions":null},{"id":"4b295bdb-b55c-49e0-b553-019fcccfe6f1","cardType":"cloze","front":"For the line $y=mx+c$, $m$ is the [ ].","back":"For the line $y=mx+c$, $m$ is the gradient.","points":null,"mcqOptions":null},{"id":"828fb3cb-8bf8-4b3e-a758-264ded3a213d","cardType":"basic","front":"What does a negative gradient imply about a straight-line graph?","back":"It falls from left to right.","points":1,"mcqOptions":null},{"id":"5ecea2a6-0db8-4383-8657-8ab61cce5dff","cardType":"basic","front":"How does the sign of the $x^2$ coefficient affect a quadratic's shape?","back":"

Positive: opens upwards
Negative: opens downwards

","points":3,"mcqOptions":null},{"id":"a864ffd1-6da6-4167-ba7c-203ee98f8c09","cardType":"cloze","front":"The graph of $y=|x|$ is [ ].","back":"The graph of $y=|x|$ is V-shaped.","points":null,"mcqOptions":null},{"id":"7348f1b6-c1a6-445f-8d55-ffd34dca15e7","cardType":"basic","front":"Why is $y=\\sqrt{x}$ drawn only on or to the right of the vertical axis?","back":"It is defined only for $x\\ge 0$.","points":2,"mcqOptions":null},{"id":"6a3e1e86-9791-43fa-8e9a-7d632ff670bf","cardType":"basic","front":"Why must the two branches of $y=\\frac{1}{x}$ not meet at $x=0$?","back":"The function is undefined at $x=0$.","points":2,"mcqOptions":null},{"id":"0e7ab47f-b24d-4666-b9a6-2be558ed7f92","cardType":"cloze","front":"For $y=\\frac{1}{x}$, the asymptotes are [ ].","back":"For $y=\\frac{1}{x}$, the asymptotes are $x=0$ and $y=0$.","points":null,"mcqOptions":null},{"id":"bc2427c9-8bec-4f63-8ed5-f2c9e45fc305","cardType":"basic","front":"What equation must an even function satisfy?","back":"$f(-x)=f(x)$.","points":1,"mcqOptions":null},{"id":"2a490c48-3c6a-471e-9214-16cc102de40b","cardType":"basic","front":"What symmetry does an odd function's graph have?","back":"Rotational symmetry of order 2 about the origin.","points":1,"mcqOptions":null},{"id":"6a6cdf2a-0f31-40d4-b8cc-08e75af581db","cardType":"cloze","front":"The polynomial's broad end behaviour is determined by its [ ].","back":"The polynomial's broad end behaviour is determined by its leading term.","points":null,"mcqOptions":null},{"id":"156b2fe4-49a1-4094-b83c-3522d0c88789","cardType":"basic","front":"Predict the end behaviour of a polynomial with a positive even-degree leading term.","back":"Both ends rise.","points":1,"mcqOptions":null},{"id":"579801d3-44b3-4d28-875e-6c6c5d4307d4","cardType":"basic","front":"Predict the end behaviour of a polynomial with a negative even-degree leading term.","back":"Both ends fall.","points":1,"mcqOptions":null},{"id":"831c2758-c128-43f2-8cfe-92eeb817a080","cardType":"basic","front":"Predict th

1.4.4 Sketch graphs of simple functions Flashcards

1.4.4 Sketch graphs of simple functions Flashcards